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Finding the Third Proportional to 38,731.78 and 82,113.75

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Solution

The third proportional to 38,731.78 and 82,113.75 is: 174,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,731.78 : 82,113.75 = 82,113.75 : x
  2. Step 2: Convert to fraction form
    38,731.78/82,113.75 = 82,113.75/x
  3. Step 3: Cross multiply
    38,731.78x = 82,113.75 × 82,113.75
  4. Step 4: Simplify right side
    38,731.78x = 6,742,667,939.06
  5. Step 5: Solve for x
    x = 6,742,667,939.06/38,731.78
  6. Step 6: Final answer
    x = 174,086.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.