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Finding the Third Proportional to 439,032 and 656,676

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Solution

The third proportional to 439,032 and 656,676 is: 982,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,032 : 656,676 = 656,676 : x
  2. Step 2: Convert to fraction form
    439,032/656,676 = 656,676/x
  3. Step 3: Cross multiply
    439,032x = 656,676 × 656,676
  4. Step 4: Simplify right side
    439,032x = 431,223,368,976
  5. Step 5: Solve for x
    x = 431,223,368,976/439,032
  6. Step 6: Final answer
    x = 982,213.98

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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.