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Finding the Third Proportional to 85,732 and 136,422

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Solution

The third proportional to 85,732 and 136,422 is: 217,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732 : 136,422 = 136,422 : x
  2. Step 2: Convert to fraction form
    85,732/136,422 = 136,422/x
  3. Step 3: Cross multiply
    85,732x = 136,422 × 136,422
  4. Step 4: Simplify right side
    85,732x = 18,610,962,084
  5. Step 5: Solve for x
    x = 18,610,962,084/85,732
  6. Step 6: Final answer
    x = 217,083.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.