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Finding the Third Proportional to 86,712 and 126,945

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Solution

The third proportional to 86,712 and 126,945 is: 185,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,712 : 126,945 = 126,945 : x
  2. Step 2: Convert to fraction form
    86,712/126,945 = 126,945/x
  3. Step 3: Cross multiply
    86,712x = 126,945 × 126,945
  4. Step 4: Simplify right side
    86,712x = 16,115,033,025
  5. Step 5: Solve for x
    x = 16,115,033,025/86,712
  6. Step 6: Final answer
    x = 185,845.48

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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.