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Finding the Third Proportional to 27,220 and 31,540

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Solution

The third proportional to 27,220 and 31,540 is: 36,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220 : 31,540 = 31,540 : x
  2. Step 2: Convert to fraction form
    27,220/31,540 = 31,540/x
  3. Step 3: Cross multiply
    27,220x = 31,540 × 31,540
  4. Step 4: Simplify right side
    27,220x = 994,771,600
  5. Step 5: Solve for x
    x = 994,771,600/27,220
  6. Step 6: Final answer
    x = 36,545.61

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.