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Finding the Third Proportional to 181,156 and 275,478

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Solution

The third proportional to 181,156 and 275,478 is: 418,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,156 : 275,478 = 275,478 : x
  2. Step 2: Convert to fraction form
    181,156/275,478 = 275,478/x
  3. Step 3: Cross multiply
    181,156x = 275,478 × 275,478
  4. Step 4: Simplify right side
    181,156x = 75,888,128,484
  5. Step 5: Solve for x
    x = 75,888,128,484/181,156
  6. Step 6: Final answer
    x = 418,910.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.