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Finding the Third Proportional to 81,656 and 178,288

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Solution

The third proportional to 81,656 and 178,288 is: 389,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656 : 178,288 = 178,288 : x
  2. Step 2: Convert to fraction form
    81,656/178,288 = 178,288/x
  3. Step 3: Cross multiply
    81,656x = 178,288 × 178,288
  4. Step 4: Simplify right side
    81,656x = 31,786,610,944
  5. Step 5: Solve for x
    x = 31,786,610,944/81,656
  6. Step 6: Final answer
    x = 389,274.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.