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Finding the Third Proportional to 88,978 and 132,507

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Solution

The third proportional to 88,978 and 132,507 is: 197,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,978 : 132,507 = 132,507 : x
  2. Step 2: Convert to fraction form
    88,978/132,507 = 132,507/x
  3. Step 3: Cross multiply
    88,978x = 132,507 × 132,507
  4. Step 4: Simplify right side
    88,978x = 17,558,105,049
  5. Step 5: Solve for x
    x = 17,558,105,049/88,978
  6. Step 6: Final answer
    x = 197,330.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.