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Finding the Third Proportional to 129,965,262 and 285,435,960

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Solution

The third proportional to 129,965,262 and 285,435,960 is: 626,888,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,965,262 : 285,435,960 = 285,435,960 : x
  2. Step 2: Convert to fraction form
    129,965,262/285,435,960 = 285,435,960/x
  3. Step 3: Cross multiply
    129,965,262x = 285,435,960 × 285,435,960
  4. Step 4: Simplify right side
    129,965,262x = 81,473,687,261,121,600
  5. Step 5: Solve for x
    x = 81,473,687,261,121,600/129,965,262
  6. Step 6: Final answer
    x = 626,888,185.41

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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.