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Finding the Third Proportional to 9,256.78 and 15,422.91

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Solution

The third proportional to 9,256.78 and 15,422.91 is: 25,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.78 : 15,422.91 = 15,422.91 : x
  2. Step 2: Convert to fraction form
    9,256.78/15,422.91 = 15,422.91/x
  3. Step 3: Cross multiply
    9,256.78x = 15,422.91 × 15,422.91
  4. Step 4: Simplify right side
    9,256.78x = 237,866,037.20
  5. Step 5: Solve for x
    x = 237,866,037.20/9,256.78
  6. Step 6: Final answer
    x = 25,696.41

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.