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Finding the Third Proportional to 82,117.13 and 140,201.72

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Solution

The third proportional to 82,117.13 and 140,201.72 is: 239,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.13 : 140,201.72 = 140,201.72 : x
  2. Step 2: Convert to fraction form
    82,117.13/140,201.72 = 140,201.72/x
  3. Step 3: Cross multiply
    82,117.13x = 140,201.72 × 140,201.72
  4. Step 4: Simplify right side
    82,117.13x = 19,656,521,940.45
  5. Step 5: Solve for x
    x = 19,656,521,940.45/82,117.13
  6. Step 6: Final answer
    x = 239,371.77

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.