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Finding the Third Proportional to 109,500 and 121,020

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Solution

The third proportional to 109,500 and 121,020 is: 133,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,500 : 121,020 = 121,020 : x
  2. Step 2: Convert to fraction form
    109,500/121,020 = 121,020/x
  3. Step 3: Cross multiply
    109,500x = 121,020 × 121,020
  4. Step 4: Simplify right side
    109,500x = 14,645,840,400
  5. Step 5: Solve for x
    x = 14,645,840,400/109,500
  6. Step 6: Final answer
    x = 133,751.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.