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Finding the Third Proportional to 13,650 and 21,897

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Solution

The third proportional to 13,650 and 21,897 is: 35,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 21,897 = 21,897 : x
  2. Step 2: Convert to fraction form
    13,650/21,897 = 21,897/x
  3. Step 3: Cross multiply
    13,650x = 21,897 × 21,897
  4. Step 4: Simplify right side
    13,650x = 479,478,609
  5. Step 5: Solve for x
    x = 479,478,609/13,650
  6. Step 6: Final answer
    x = 35,126.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.