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Finding the Third Proportional to 15,675 and 25,731.38

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Solution

The third proportional to 15,675 and 25,731.38 is: 42,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675 : 25,731.38 = 25,731.38 : x
  2. Step 2: Convert to fraction form
    15,675/25,731.38 = 25,731.38/x
  3. Step 3: Cross multiply
    15,675x = 25,731.38 × 25,731.38
  4. Step 4: Simplify right side
    15,675x = 662,103,659.39
  5. Step 5: Solve for x
    x = 662,103,659.39/15,675
  6. Step 6: Final answer
    x = 42,239.47

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.