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Finding the Third Proportional to 453,974,489,302.50 and 1,000,483,437,780

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Solution

The third proportional to 453,974,489,302.50 and 1,000,483,437,780 is: 2,204,897,263,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,974,489,302.50 : 1,000,483,437,780 = 1,000,483,437,780 : x
  2. Step 2: Convert to fraction form
    453,974,489,302.50/1,000,483,437,780 = 1,000,483,437,780/x
  3. Step 3: Cross multiply
    453,974,489,302.50x = 1,000,483,437,780 × 1,000,483,437,780
  4. Step 4: Simplify right side
    453,974,489,302.50x = 1,000,967,109,272,087,180,607,488
  5. Step 5: Solve for x
    x = 1,000,967,109,272,087,180,607,488/453,974,489,302.50
  6. Step 6: Final answer
    x = 2,204,897,263,742.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.