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Finding the Third Proportional to 151,708 and 218,522

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Solution

The third proportional to 151,708 and 218,522 is: 314,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,708 : 218,522 = 218,522 : x
  2. Step 2: Convert to fraction form
    151,708/218,522 = 218,522/x
  3. Step 3: Cross multiply
    151,708x = 218,522 × 218,522
  4. Step 4: Simplify right side
    151,708x = 47,751,864,484
  5. Step 5: Solve for x
    x = 47,751,864,484/151,708
  6. Step 6: Final answer
    x = 314,761.68

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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.