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Finding the Third Proportional to 18,540.38 and 39,780.75

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Solution

The third proportional to 18,540.38 and 39,780.75 is: 85,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.38 : 39,780.75 = 39,780.75 : x
  2. Step 2: Convert to fraction form
    18,540.38/39,780.75 = 39,780.75/x
  3. Step 3: Cross multiply
    18,540.38x = 39,780.75 × 39,780.75
  4. Step 4: Simplify right side
    18,540.38x = 1,582,508,070.56
  5. Step 5: Solve for x
    x = 1,582,508,070.56/18,540.38
  6. Step 6: Final answer
    x = 85,354.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.