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Finding the Third Proportional to 41,955 and 81,778.50

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Solution

The third proportional to 41,955 and 81,778.50 is: 159,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,955 : 81,778.50 = 81,778.50 : x
  2. Step 2: Convert to fraction form
    41,955/81,778.50 = 81,778.50/x
  3. Step 3: Cross multiply
    41,955x = 81,778.50 × 81,778.50
  4. Step 4: Simplify right side
    41,955x = 6,687,723,062.25
  5. Step 5: Solve for x
    x = 6,687,723,062.25/41,955
  6. Step 6: Final answer
    x = 159,402.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.