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Finding the Third Proportional to 151,838 and 218,691

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Solution

The third proportional to 151,838 and 218,691 is: 314,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,838 : 218,691 = 218,691 : x
  2. Step 2: Convert to fraction form
    151,838/218,691 = 218,691/x
  3. Step 3: Cross multiply
    151,838x = 218,691 × 218,691
  4. Step 4: Simplify right side
    151,838x = 47,825,753,481
  5. Step 5: Solve for x
    x = 47,825,753,481/151,838
  6. Step 6: Final answer
    x = 314,978.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.