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Finding the Third Proportional to 331,248 and 516,552

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Solution

The third proportional to 331,248 and 516,552 is: 805,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,248 : 516,552 = 516,552 : x
  2. Step 2: Convert to fraction form
    331,248/516,552 = 516,552/x
  3. Step 3: Cross multiply
    331,248x = 516,552 × 516,552
  4. Step 4: Simplify right side
    331,248x = 266,825,968,704
  5. Step 5: Solve for x
    x = 266,825,968,704/331,248
  6. Step 6: Final answer
    x = 805,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.