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Finding the Third Proportional to 438,536 and 656,012

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Solution

The third proportional to 438,536 and 656,012 is: 981,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,536 : 656,012 = 656,012 : x
  2. Step 2: Convert to fraction form
    438,536/656,012 = 656,012/x
  3. Step 3: Cross multiply
    438,536x = 656,012 × 656,012
  4. Step 4: Simplify right side
    438,536x = 430,351,744,144
  5. Step 5: Solve for x
    x = 430,351,744,144/438,536
  6. Step 6: Final answer
    x = 981,337.32

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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.