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Finding the Third Proportional to 21,677 and 28,317

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Solution

The third proportional to 21,677 and 28,317 is: 36,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677 : 28,317 = 28,317 : x
  2. Step 2: Convert to fraction form
    21,677/28,317 = 28,317/x
  3. Step 3: Cross multiply
    21,677x = 28,317 × 28,317
  4. Step 4: Simplify right side
    21,677x = 801,852,489
  5. Step 5: Solve for x
    x = 801,852,489/21,677
  6. Step 6: Final answer
    x = 36,990.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.