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Finding the Third Proportional to 39,811.50 and 85,521

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Solution

The third proportional to 39,811.50 and 85,521 is: 183,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811.50 : 85,521 = 85,521 : x
  2. Step 2: Convert to fraction form
    39,811.50/85,521 = 85,521/x
  3. Step 3: Cross multiply
    39,811.50x = 85,521 × 85,521
  4. Step 4: Simplify right side
    39,811.50x = 7,313,841,441
  5. Step 5: Solve for x
    x = 7,313,841,441/39,811.50
  6. Step 6: Final answer
    x = 183,711.78

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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.