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Finding the Third Proportional to 86,469 and 133,539.75

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Solution

The third proportional to 86,469 and 133,539.75 is: 206,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,469 : 133,539.75 = 133,539.75 : x
  2. Step 2: Convert to fraction form
    86,469/133,539.75 = 133,539.75/x
  3. Step 3: Cross multiply
    86,469x = 133,539.75 × 133,539.75
  4. Step 4: Simplify right side
    86,469x = 17,832,864,830.06
  5. Step 5: Solve for x
    x = 17,832,864,830.06/86,469
  6. Step 6: Final answer
    x = 206,234.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.