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Finding the Third Proportional to 429,797,421 and 681,660,805.50

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Solution

The third proportional to 429,797,421 and 681,660,805.50 is: 1,081,117,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,797,421 : 681,660,805.50 = 681,660,805.50 : x
  2. Step 2: Convert to fraction form
    429,797,421/681,660,805.50 = 681,660,805.50/x
  3. Step 3: Cross multiply
    429,797,421x = 681,660,805.50 × 681,660,805.50
  4. Step 4: Simplify right side
    429,797,421x = 464,661,453,754,908,800
  5. Step 5: Solve for x
    x = 464,661,453,754,908,800/429,797,421
  6. Step 6: Final answer
    x = 1,081,117,361.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.