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Finding the Third Proportional to 81,410 and 177,156

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Solution

The third proportional to 81,410 and 177,156 is: 385,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410 : 177,156 = 177,156 : x
  2. Step 2: Convert to fraction form
    81,410/177,156 = 177,156/x
  3. Step 3: Cross multiply
    81,410x = 177,156 × 177,156
  4. Step 4: Simplify right side
    81,410x = 31,384,248,336
  5. Step 5: Solve for x
    x = 31,384,248,336/81,410
  6. Step 6: Final answer
    x = 385,508.52

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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.