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Finding the Third Proportional to 82,840 and 127,517

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Solution

The third proportional to 82,840 and 127,517 is: 196,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,840 : 127,517 = 127,517 : x
  2. Step 2: Convert to fraction form
    82,840/127,517 = 127,517/x
  3. Step 3: Cross multiply
    82,840x = 127,517 × 127,517
  4. Step 4: Simplify right side
    82,840x = 16,260,585,289
  5. Step 5: Solve for x
    x = 16,260,585,289/82,840
  6. Step 6: Final answer
    x = 196,289.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.