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Finding the Third Proportional to 438,514 and 656,011

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Solution

The third proportional to 438,514 and 656,011 is: 981,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,514 : 656,011 = 656,011 : x
  2. Step 2: Convert to fraction form
    438,514/656,011 = 656,011/x
  3. Step 3: Cross multiply
    438,514x = 656,011 × 656,011
  4. Step 4: Simplify right side
    438,514x = 430,350,432,121
  5. Step 5: Solve for x
    x = 430,350,432,121/438,514
  6. Step 6: Final answer
    x = 981,383.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.