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Finding the Third Proportional to 81,842.50 and 176,135.50

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Solution

The third proportional to 81,842.50 and 176,135.50 is: 379,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.50 : 176,135.50 = 176,135.50 : x
  2. Step 2: Convert to fraction form
    81,842.50/176,135.50 = 176,135.50/x
  3. Step 3: Cross multiply
    81,842.50x = 176,135.50 × 176,135.50
  4. Step 4: Simplify right side
    81,842.50x = 31,023,714,360.25
  5. Step 5: Solve for x
    x = 31,023,714,360.25/81,842.50
  6. Step 6: Final answer
    x = 379,066.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.