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Finding the Third Proportional to 358,274 and 541,443

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Solution

The third proportional to 358,274 and 541,443 is: 818,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,274 : 541,443 = 541,443 : x
  2. Step 2: Convert to fraction form
    358,274/541,443 = 541,443/x
  3. Step 3: Cross multiply
    358,274x = 541,443 × 541,443
  4. Step 4: Simplify right side
    358,274x = 293,160,522,249
  5. Step 5: Solve for x
    x = 293,160,522,249/358,274
  6. Step 6: Final answer
    x = 818,257.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.