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Finding the Third Proportional to 438,506 and 656,001

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Solution

The third proportional to 438,506 and 656,001 is: 981,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,506 : 656,001 = 656,001 : x
  2. Step 2: Convert to fraction form
    438,506/656,001 = 656,001/x
  3. Step 3: Cross multiply
    438,506x = 656,001 × 656,001
  4. Step 4: Simplify right side
    438,506x = 430,337,312,001
  5. Step 5: Solve for x
    x = 430,337,312,001/438,506
  6. Step 6: Final answer
    x = 981,371.55

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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.