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Finding the Third Proportional to 21,342 and 28,551

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Solution

The third proportional to 21,342 and 28,551 is: 38,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342 : 28,551 = 28,551 : x
  2. Step 2: Convert to fraction form
    21,342/28,551 = 28,551/x
  3. Step 3: Cross multiply
    21,342x = 28,551 × 28,551
  4. Step 4: Simplify right side
    21,342x = 815,159,601
  5. Step 5: Solve for x
    x = 815,159,601/21,342
  6. Step 6: Final answer
    x = 38,195.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.