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Finding the Third Proportional to 85,374 and 132,678

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Solution

The third proportional to 85,374 and 132,678 is: 206,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374 : 132,678 = 132,678 : x
  2. Step 2: Convert to fraction form
    85,374/132,678 = 132,678/x
  3. Step 3: Cross multiply
    85,374x = 132,678 × 132,678
  4. Step 4: Simplify right side
    85,374x = 17,603,451,684
  5. Step 5: Solve for x
    x = 17,603,451,684/85,374
  6. Step 6: Final answer
    x = 206,192.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.