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Finding the Third Proportional to 39,091.78 and 81,489.38

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Solution

The third proportional to 39,091.78 and 81,489.38 is: 169,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,091.78 : 81,489.38 = 81,489.38 : x
  2. Step 2: Convert to fraction form
    39,091.78/81,489.38 = 81,489.38/x
  3. Step 3: Cross multiply
    39,091.78x = 81,489.38 × 81,489.38
  4. Step 4: Simplify right side
    39,091.78x = 6,640,518,237.89
  5. Step 5: Solve for x
    x = 6,640,518,237.89/39,091.78
  6. Step 6: Final answer
    x = 169,869.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.