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Finding the Third Proportional to 86,448 and 126,864

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Solution

The third proportional to 86,448 and 126,864 is: 186,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,448 : 126,864 = 126,864 : x
  2. Step 2: Convert to fraction form
    86,448/126,864 = 126,864/x
  3. Step 3: Cross multiply
    86,448x = 126,864 × 126,864
  4. Step 4: Simplify right side
    86,448x = 16,094,474,496
  5. Step 5: Solve for x
    x = 16,094,474,496/86,448
  6. Step 6: Final answer
    x = 186,175.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.