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Finding the Third Proportional to 21,817 and 23,639

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Solution

The third proportional to 21,817 and 23,639 is: 25,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817 : 23,639 = 23,639 : x
  2. Step 2: Convert to fraction form
    21,817/23,639 = 23,639/x
  3. Step 3: Cross multiply
    21,817x = 23,639 × 23,639
  4. Step 4: Simplify right side
    21,817x = 558,802,321
  5. Step 5: Solve for x
    x = 558,802,321/21,817
  6. Step 6: Final answer
    x = 25,613.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.