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Finding the Third Proportional to 32,781 and 71,718

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Solution

The third proportional to 32,781 and 71,718 is: 156,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781 : 71,718 = 71,718 : x
  2. Step 2: Convert to fraction form
    32,781/71,718 = 71,718/x
  3. Step 3: Cross multiply
    32,781x = 71,718 × 71,718
  4. Step 4: Simplify right side
    32,781x = 5,143,471,524
  5. Step 5: Solve for x
    x = 5,143,471,524/32,781
  6. Step 6: Final answer
    x = 156,904.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.