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Finding the Third Proportional to 86,569 and 135,320

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Solution

The third proportional to 86,569 and 135,320 is: 211,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569 : 135,320 = 135,320 : x
  2. Step 2: Convert to fraction form
    86,569/135,320 = 135,320/x
  3. Step 3: Cross multiply
    86,569x = 135,320 × 135,320
  4. Step 4: Simplify right side
    86,569x = 18,311,502,400
  5. Step 5: Solve for x
    x = 18,311,502,400/86,569
  6. Step 6: Final answer
    x = 211,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.