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Finding the Third Proportional to 39,917.81 and 85,890.38

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Solution

The third proportional to 39,917.81 and 85,890.38 is: 184,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,917.81 : 85,890.38 = 85,890.38 : x
  2. Step 2: Convert to fraction form
    39,917.81/85,890.38 = 85,890.38/x
  3. Step 3: Cross multiply
    39,917.81x = 85,890.38 × 85,890.38
  4. Step 4: Simplify right side
    39,917.81x = 7,377,156,517.64
  5. Step 5: Solve for x
    x = 7,377,156,517.64/39,917.81
  6. Step 6: Final answer
    x = 184,808.64

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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.