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Finding the Third Proportional to 86,511 and 126,418.50

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Solution

The third proportional to 86,511 and 126,418.50 is: 184,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,511 : 126,418.50 = 126,418.50 : x
  2. Step 2: Convert to fraction form
    86,511/126,418.50 = 126,418.50/x
  3. Step 3: Cross multiply
    86,511x = 126,418.50 × 126,418.50
  4. Step 4: Simplify right side
    86,511x = 15,981,637,142.25
  5. Step 5: Solve for x
    x = 15,981,637,142.25/86,511
  6. Step 6: Final answer
    x = 184,735.32

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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.