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Finding the Third Proportional to 515,960 and 781,730

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Solution

The third proportional to 515,960 and 781,730 is: 1,184,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,960 : 781,730 = 781,730 : x
  2. Step 2: Convert to fraction form
    515,960/781,730 = 781,730/x
  3. Step 3: Cross multiply
    515,960x = 781,730 × 781,730
  4. Step 4: Simplify right side
    515,960x = 611,101,792,900
  5. Step 5: Solve for x
    x = 611,101,792,900/515,960
  6. Step 6: Final answer
    x = 1,184,397.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.