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Finding the Third Proportional to 7,139.81 and 15,471.28

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Solution

The third proportional to 7,139.81 and 15,471.28 is: 33,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.81 : 15,471.28 = 15,471.28 : x
  2. Step 2: Convert to fraction form
    7,139.81/15,471.28 = 15,471.28/x
  3. Step 3: Cross multiply
    7,139.81x = 15,471.28 × 15,471.28
  4. Step 4: Simplify right side
    7,139.81x = 239,360,543.52
  5. Step 5: Solve for x
    x = 239,360,543.52/7,139.81
  6. Step 6: Final answer
    x = 33,524.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.