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Finding the Third Proportional to 515,972 and 781,748

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Solution

The third proportional to 515,972 and 781,748 is: 1,184,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,972 : 781,748 = 781,748 : x
  2. Step 2: Convert to fraction form
    515,972/781,748 = 781,748/x
  3. Step 3: Cross multiply
    515,972x = 781,748 × 781,748
  4. Step 4: Simplify right side
    515,972x = 611,129,935,504
  5. Step 5: Solve for x
    x = 611,129,935,504/515,972
  6. Step 6: Final answer
    x = 1,184,424.61

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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.