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Finding the Third Proportional to 15,488 and 21,568

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Solution

The third proportional to 15,488 and 21,568 is: 30,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488 : 21,568 = 21,568 : x
  2. Step 2: Convert to fraction form
    15,488/21,568 = 21,568/x
  3. Step 3: Cross multiply
    15,488x = 21,568 × 21,568
  4. Step 4: Simplify right side
    15,488x = 465,178,624
  5. Step 5: Solve for x
    x = 465,178,624/15,488
  6. Step 6: Final answer
    x = 30,034.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.