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Finding the Third Proportional to 515,940 and 781,699

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Solution

The third proportional to 515,940 and 781,699 is: 1,184,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940 : 781,699 = 781,699 : x
  2. Step 2: Convert to fraction form
    515,940/781,699 = 781,699/x
  3. Step 3: Cross multiply
    515,940x = 781,699 × 781,699
  4. Step 4: Simplify right side
    515,940x = 611,053,326,601
  5. Step 5: Solve for x
    x = 611,053,326,601/515,940
  6. Step 6: Final answer
    x = 1,184,349.59

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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.