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Finding the Third Proportional to 331,712 and 499,960

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Solution

The third proportional to 331,712 and 499,960 is: 753,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712 : 499,960 = 499,960 : x
  2. Step 2: Convert to fraction form
    331,712/499,960 = 499,960/x
  3. Step 3: Cross multiply
    331,712x = 499,960 × 499,960
  4. Step 4: Simplify right side
    331,712x = 249,960,001,600
  5. Step 5: Solve for x
    x = 249,960,001,600/331,712
  6. Step 6: Final answer
    x = 753,545.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.