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Finding the Third Proportional to 85,147 and 178,852

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Solution

The third proportional to 85,147 and 178,852 is: 375,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147 : 178,852 = 178,852 : x
  2. Step 2: Convert to fraction form
    85,147/178,852 = 178,852/x
  3. Step 3: Cross multiply
    85,147x = 178,852 × 178,852
  4. Step 4: Simplify right side
    85,147x = 31,988,037,904
  5. Step 5: Solve for x
    x = 31,988,037,904/85,147
  6. Step 6: Final answer
    x = 375,680.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.