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Finding the Third Proportional to 86,436 and 126,342

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Solution

The third proportional to 86,436 and 126,342 is: 184,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,436 : 126,342 = 126,342 : x
  2. Step 2: Convert to fraction form
    86,436/126,342 = 126,342/x
  3. Step 3: Cross multiply
    86,436x = 126,342 × 126,342
  4. Step 4: Simplify right side
    86,436x = 15,962,300,964
  5. Step 5: Solve for x
    x = 15,962,300,964/86,436
  6. Step 6: Final answer
    x = 184,671.91

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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.