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Finding the Third Proportional to 66,419,774 and 145,915,540

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Solution

The third proportional to 66,419,774 and 145,915,540 is: 320,557,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419,774 : 145,915,540 = 145,915,540 : x
  2. Step 2: Convert to fraction form
    66,419,774/145,915,540 = 145,915,540/x
  3. Step 3: Cross multiply
    66,419,774x = 145,915,540 × 145,915,540
  4. Step 4: Simplify right side
    66,419,774x = 21,291,344,813,491,600
  5. Step 5: Solve for x
    x = 21,291,344,813,491,600/66,419,774
  6. Step 6: Final answer
    x = 320,557,320.98

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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.