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Finding the Third Proportional to 15,406 and 20,597

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Solution

The third proportional to 15,406 and 20,597 is: 27,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 20,597 = 20,597 : x
  2. Step 2: Convert to fraction form
    15,406/20,597 = 20,597/x
  3. Step 3: Cross multiply
    15,406x = 20,597 × 20,597
  4. Step 4: Simplify right side
    15,406x = 424,236,409
  5. Step 5: Solve for x
    x = 424,236,409/15,406
  6. Step 6: Final answer
    x = 27,537.09

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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.