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Finding the Third Proportional to 81,132 and 178,248

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Solution

The third proportional to 81,132 and 178,248 is: 391,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,132 : 178,248 = 178,248 : x
  2. Step 2: Convert to fraction form
    81,132/178,248 = 178,248/x
  3. Step 3: Cross multiply
    81,132x = 178,248 × 178,248
  4. Step 4: Simplify right side
    81,132x = 31,772,349,504
  5. Step 5: Solve for x
    x = 31,772,349,504/81,132
  6. Step 6: Final answer
    x = 391,613.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.