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Finding the Third Proportional to 374 and 421

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Solution

The third proportional to 374 and 421 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374 : 421 = 421 : x
  2. Step 2: Convert to fraction form
    374/421 = 421/x
  3. Step 3: Cross multiply
    374x = 421 × 421
  4. Step 4: Simplify right side
    374x = 177,241
  5. Step 5: Solve for x
    x = 177,241/374
  6. Step 6: Final answer
    x = 473.91

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.