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Finding the Third Proportional to 39,718.50 and 82,704

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Solution

The third proportional to 39,718.50 and 82,704 is: 172,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,718.50 : 82,704 = 82,704 : x
  2. Step 2: Convert to fraction form
    39,718.50/82,704 = 82,704/x
  3. Step 3: Cross multiply
    39,718.50x = 82,704 × 82,704
  4. Step 4: Simplify right side
    39,718.50x = 6,839,951,616
  5. Step 5: Solve for x
    x = 6,839,951,616/39,718.50
  6. Step 6: Final answer
    x = 172,210.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.