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Finding the Third Proportional to 86,192 and 126,440

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Solution

The third proportional to 86,192 and 126,440 is: 185,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,192 : 126,440 = 126,440 : x
  2. Step 2: Convert to fraction form
    86,192/126,440 = 126,440/x
  3. Step 3: Cross multiply
    86,192x = 126,440 × 126,440
  4. Step 4: Simplify right side
    86,192x = 15,987,073,600
  5. Step 5: Solve for x
    x = 15,987,073,600/86,192
  6. Step 6: Final answer
    x = 185,482.11

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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.