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Finding the Third Proportional to 438,630 and 656,217

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Solution

The third proportional to 438,630 and 656,217 is: 981,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,630 : 656,217 = 656,217 : x
  2. Step 2: Convert to fraction form
    438,630/656,217 = 656,217/x
  3. Step 3: Cross multiply
    438,630x = 656,217 × 656,217
  4. Step 4: Simplify right side
    438,630x = 430,620,751,089
  5. Step 5: Solve for x
    x = 430,620,751,089/438,630
  6. Step 6: Final answer
    x = 981,740.31

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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.