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Finding the Third Proportional to 172,199 and 378,478

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Solution

The third proportional to 172,199 and 378,478 is: 831,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,199 : 378,478 = 378,478 : x
  2. Step 2: Convert to fraction form
    172,199/378,478 = 378,478/x
  3. Step 3: Cross multiply
    172,199x = 378,478 × 378,478
  4. Step 4: Simplify right side
    172,199x = 143,245,596,484
  5. Step 5: Solve for x
    x = 143,245,596,484/172,199
  6. Step 6: Final answer
    x = 831,860.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.