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Finding the Third Proportional to 331,272 and 516,588

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Solution

The third proportional to 331,272 and 516,588 is: 805,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,272 : 516,588 = 516,588 : x
  2. Step 2: Convert to fraction form
    331,272/516,588 = 516,588/x
  3. Step 3: Cross multiply
    331,272x = 516,588 × 516,588
  4. Step 4: Simplify right side
    331,272x = 266,863,161,744
  5. Step 5: Solve for x
    x = 266,863,161,744/331,272
  6. Step 6: Final answer
    x = 805,571.14

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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.