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Finding the Third Proportional to 39,746 and 82,760

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Solution

The third proportional to 39,746 and 82,760 is: 172,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746 : 82,760 = 82,760 : x
  2. Step 2: Convert to fraction form
    39,746/82,760 = 82,760/x
  3. Step 3: Cross multiply
    39,746x = 82,760 × 82,760
  4. Step 4: Simplify right side
    39,746x = 6,849,217,600
  5. Step 5: Solve for x
    x = 6,849,217,600/39,746
  6. Step 6: Final answer
    x = 172,324.70

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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.