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Finding the Third Proportional to 10,128 and 15,331

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Solution

The third proportional to 10,128 and 15,331 is: 23,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 15,331 = 15,331 : x
  2. Step 2: Convert to fraction form
    10,128/15,331 = 15,331/x
  3. Step 3: Cross multiply
    10,128x = 15,331 × 15,331
  4. Step 4: Simplify right side
    10,128x = 235,039,561
  5. Step 5: Solve for x
    x = 235,039,561/10,128
  6. Step 6: Final answer
    x = 23,206.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.