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Finding the Third Proportional to 438,600 and 656,172

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Solution

The third proportional to 438,600 and 656,172 is: 981,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,600 : 656,172 = 656,172 : x
  2. Step 2: Convert to fraction form
    438,600/656,172 = 656,172/x
  3. Step 3: Cross multiply
    438,600x = 656,172 × 656,172
  4. Step 4: Simplify right side
    438,600x = 430,561,693,584
  5. Step 5: Solve for x
    x = 430,561,693,584/438,600
  6. Step 6: Final answer
    x = 981,672.81

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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.