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Finding the Third Proportional to 39,711 and 85,180.50

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Solution

The third proportional to 39,711 and 85,180.50 is: 182,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,711 : 85,180.50 = 85,180.50 : x
  2. Step 2: Convert to fraction form
    39,711/85,180.50 = 85,180.50/x
  3. Step 3: Cross multiply
    39,711x = 85,180.50 × 85,180.50
  4. Step 4: Simplify right side
    39,711x = 7,255,717,580.25
  5. Step 5: Solve for x
    x = 7,255,717,580.25/39,711
  6. Step 6: Final answer
    x = 182,713.04

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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.