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Finding the Third Proportional to 15,475 and 20,897

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Solution

The third proportional to 15,475 and 20,897 is: 28,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475 : 20,897 = 20,897 : x
  2. Step 2: Convert to fraction form
    15,475/20,897 = 20,897/x
  3. Step 3: Cross multiply
    15,475x = 20,897 × 20,897
  4. Step 4: Simplify right side
    15,475x = 436,684,609
  5. Step 5: Solve for x
    x = 436,684,609/15,475
  6. Step 6: Final answer
    x = 28,218.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.