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Finding the Third Proportional to 129,965,294 and 285,436,028

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Solution

The third proportional to 129,965,294 and 285,436,028 is: 626,888,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,965,294 : 285,436,028 = 285,436,028 : x
  2. Step 2: Convert to fraction form
    129,965,294/285,436,028 = 285,436,028/x
  3. Step 3: Cross multiply
    129,965,294x = 285,436,028 × 285,436,028
  4. Step 4: Simplify right side
    129,965,294x = 81,473,726,080,416,784
  5. Step 5: Solve for x
    x = 81,473,726,080,416,784/129,965,294
  6. Step 6: Final answer
    x = 626,888,329.74

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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.