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Finding the Third Proportional to 109,712 and 166,107

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Solution

The third proportional to 109,712 and 166,107 is: 251,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712 : 166,107 = 166,107 : x
  2. Step 2: Convert to fraction form
    109,712/166,107 = 166,107/x
  3. Step 3: Cross multiply
    109,712x = 166,107 × 166,107
  4. Step 4: Simplify right side
    109,712x = 27,591,535,449
  5. Step 5: Solve for x
    x = 27,591,535,449/109,712
  6. Step 6: Final answer
    x = 251,490.59

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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.