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Finding the Third Proportional to 438,512 and 656,008

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Solution

The third proportional to 438,512 and 656,008 is: 981,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,512 : 656,008 = 656,008 : x
  2. Step 2: Convert to fraction form
    438,512/656,008 = 656,008/x
  3. Step 3: Cross multiply
    438,512x = 656,008 × 656,008
  4. Step 4: Simplify right side
    438,512x = 430,346,496,064
  5. Step 5: Solve for x
    x = 430,346,496,064/438,512
  6. Step 6: Final answer
    x = 981,379.06

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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.