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Finding the Third Proportional to 129,898,382 and 285,509,404

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Solution

The third proportional to 129,898,382 and 285,509,404 is: 627,533,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,898,382 : 285,509,404 = 285,509,404 : x
  2. Step 2: Convert to fraction form
    129,898,382/285,509,404 = 285,509,404/x
  3. Step 3: Cross multiply
    129,898,382x = 285,509,404 × 285,509,404
  4. Step 4: Simplify right side
    129,898,382x = 81,515,619,772,435,216
  5. Step 5: Solve for x
    x = 81,515,619,772,435,216/129,898,382
  6. Step 6: Final answer
    x = 627,533,757.68

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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.