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Finding the Third Proportional to 97,920.50 and 132,118

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Solution

The third proportional to 97,920.50 and 132,118 is: 178,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,920.50 : 132,118 = 132,118 : x
  2. Step 2: Convert to fraction form
    97,920.50/132,118 = 132,118/x
  3. Step 3: Cross multiply
    97,920.50x = 132,118 × 132,118
  4. Step 4: Simplify right side
    97,920.50x = 17,455,165,924
  5. Step 5: Solve for x
    x = 17,455,165,924/97,920.50
  6. Step 6: Final answer
    x = 178,258.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.