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Finding the Third Proportional to 177,155 and 385,414

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Solution

The third proportional to 177,155 and 385,414 is: 838,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,155 : 385,414 = 385,414 : x
  2. Step 2: Convert to fraction form
    177,155/385,414 = 385,414/x
  3. Step 3: Cross multiply
    177,155x = 385,414 × 385,414
  4. Step 4: Simplify right side
    177,155x = 148,543,951,396
  5. Step 5: Solve for x
    x = 148,543,951,396/177,155
  6. Step 6: Final answer
    x = 838,497.09

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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.