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Finding the Third Proportional to 21,601 and 28,708

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Solution

The third proportional to 21,601 and 28,708 is: 38,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601 : 28,708 = 28,708 : x
  2. Step 2: Convert to fraction form
    21,601/28,708 = 28,708/x
  3. Step 3: Cross multiply
    21,601x = 28,708 × 28,708
  4. Step 4: Simplify right side
    21,601x = 824,149,264
  5. Step 5: Solve for x
    x = 824,149,264/21,601
  6. Step 6: Final answer
    x = 38,153.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.