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Finding the Third Proportional to 80,311.81 and 178,575.19

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Solution

The third proportional to 80,311.81 and 178,575.19 is: 397,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,311.81 : 178,575.19 = 178,575.19 : x
  2. Step 2: Convert to fraction form
    80,311.81/178,575.19 = 178,575.19/x
  3. Step 3: Cross multiply
    80,311.81x = 178,575.19 × 178,575.19
  4. Step 4: Simplify right side
    80,311.81x = 31,889,097,590.66
  5. Step 5: Solve for x
    x = 31,889,097,590.66/80,311.81
  6. Step 6: Final answer
    x = 397,066.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.