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Finding the Third Proportional to 810,078,291 and 1,767,344,106

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Solution

The third proportional to 810,078,291 and 1,767,344,106 is: 3,855,806,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,078,291 : 1,767,344,106 = 1,767,344,106 : x
  2. Step 2: Convert to fraction form
    810,078,291/1,767,344,106 = 1,767,344,106/x
  3. Step 3: Cross multiply
    810,078,291x = 1,767,344,106 × 1,767,344,106
  4. Step 4: Simplify right side
    810,078,291x = 3,123,505,189,012,939,264
  5. Step 5: Solve for x
    x = 3,123,505,189,012,939,264/810,078,291
  6. Step 6: Final answer
    x = 3,855,806,560.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.