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Finding the Third Proportional to 279,739 and 421,931

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Solution

The third proportional to 279,739 and 421,931 is: 636,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,739 : 421,931 = 421,931 : x
  2. Step 2: Convert to fraction form
    279,739/421,931 = 421,931/x
  3. Step 3: Cross multiply
    279,739x = 421,931 × 421,931
  4. Step 4: Simplify right side
    279,739x = 178,025,768,761
  5. Step 5: Solve for x
    x = 178,025,768,761/279,739
  6. Step 6: Final answer
    x = 636,399.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.