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Finding the Third Proportional to 15,589.13 and 25,138.69

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Solution

The third proportional to 15,589.13 and 25,138.69 is: 40,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.13 : 25,138.69 = 25,138.69 : x
  2. Step 2: Convert to fraction form
    15,589.13/25,138.69 = 25,138.69/x
  3. Step 3: Cross multiply
    15,589.13x = 25,138.69 × 25,138.69
  4. Step 4: Simplify right side
    15,589.13x = 631,953,609.22
  5. Step 5: Solve for x
    x = 631,953,609.22/15,589.13
  6. Step 6: Final answer
    x = 40,538.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.