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Finding the Third Proportional to 367,072 and 516,931

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Solution

The third proportional to 367,072 and 516,931 is: 727,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,072 : 516,931 = 516,931 : x
  2. Step 2: Convert to fraction form
    367,072/516,931 = 516,931/x
  3. Step 3: Cross multiply
    367,072x = 516,931 × 516,931
  4. Step 4: Simplify right side
    367,072x = 267,217,658,761
  5. Step 5: Solve for x
    x = 267,217,658,761/367,072
  6. Step 6: Final answer
    x = 727,970.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.