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Finding the Third Proportional to 81,753.75 and 176,406.75

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Solution

The third proportional to 81,753.75 and 176,406.75 is: 380,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,753.75 : 176,406.75 = 176,406.75 : x
  2. Step 2: Convert to fraction form
    81,753.75/176,406.75 = 176,406.75/x
  3. Step 3: Cross multiply
    81,753.75x = 176,406.75 × 176,406.75
  4. Step 4: Simplify right side
    81,753.75x = 31,119,341,445.56
  5. Step 5: Solve for x
    x = 31,119,341,445.56/81,753.75
  6. Step 6: Final answer
    x = 380,647.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.