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Finding the Third Proportional to 81,865 and 178,948

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Solution

The third proportional to 81,865 and 178,948 is: 391,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865 : 178,948 = 178,948 : x
  2. Step 2: Convert to fraction form
    81,865/178,948 = 178,948/x
  3. Step 3: Cross multiply
    81,865x = 178,948 × 178,948
  4. Step 4: Simplify right side
    81,865x = 32,022,386,704
  5. Step 5: Solve for x
    x = 32,022,386,704/81,865
  6. Step 6: Final answer
    x = 391,160.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.