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Finding the Third Proportional to 86,542 and 126,409

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Solution

The third proportional to 86,542 and 126,409 is: 184,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542 : 126,409 = 126,409 : x
  2. Step 2: Convert to fraction form
    86,542/126,409 = 126,409/x
  3. Step 3: Cross multiply
    86,542x = 126,409 × 126,409
  4. Step 4: Simplify right side
    86,542x = 15,979,235,281
  5. Step 5: Solve for x
    x = 15,979,235,281/86,542
  6. Step 6: Final answer
    x = 184,641.39

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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.