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Finding the Third Proportional to 86,508 and 126,414

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Solution

The third proportional to 86,508 and 126,414 is: 184,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,508 : 126,414 = 126,414 : x
  2. Step 2: Convert to fraction form
    86,508/126,414 = 126,414/x
  3. Step 3: Cross multiply
    86,508x = 126,414 × 126,414
  4. Step 4: Simplify right side
    86,508x = 15,980,499,396
  5. Step 5: Solve for x
    x = 15,980,499,396/86,508
  6. Step 6: Final answer
    x = 184,728.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.