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Finding the Third Proportional to 81,123 and 174,318

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Solution

The third proportional to 81,123 and 174,318 is: 374,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,123 : 174,318 = 174,318 : x
  2. Step 2: Convert to fraction form
    81,123/174,318 = 174,318/x
  3. Step 3: Cross multiply
    81,123x = 174,318 × 174,318
  4. Step 4: Simplify right side
    81,123x = 30,386,765,124
  5. Step 5: Solve for x
    x = 30,386,765,124/81,123
  6. Step 6: Final answer
    x = 374,576.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.