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Finding the Third Proportional to 81,452 and 107,356

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Solution

The third proportional to 81,452 and 107,356 is: 141,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452 : 107,356 = 107,356 : x
  2. Step 2: Convert to fraction form
    81,452/107,356 = 107,356/x
  3. Step 3: Cross multiply
    81,452x = 107,356 × 107,356
  4. Step 4: Simplify right side
    81,452x = 11,525,310,736
  5. Step 5: Solve for x
    x = 11,525,310,736/81,452
  6. Step 6: Final answer
    x = 141,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.