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Finding the Third Proportional to 109,537.50 and 121,057.50

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Solution

The third proportional to 109,537.50 and 121,057.50 is: 133,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,537.50 : 121,057.50 = 121,057.50 : x
  2. Step 2: Convert to fraction form
    109,537.50/121,057.50 = 121,057.50/x
  3. Step 3: Cross multiply
    109,537.50x = 121,057.50 × 121,057.50
  4. Step 4: Simplify right side
    109,537.50x = 14,654,918,306.25
  5. Step 5: Solve for x
    x = 14,654,918,306.25/109,537.50
  6. Step 6: Final answer
    x = 133,789.05

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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.