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Finding the Third Proportional to 291,264 and 391,474

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Solution

The third proportional to 291,264 and 391,474 is: 526,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,264 : 391,474 = 391,474 : x
  2. Step 2: Convert to fraction form
    291,264/391,474 = 391,474/x
  3. Step 3: Cross multiply
    291,264x = 391,474 × 391,474
  4. Step 4: Simplify right side
    291,264x = 153,251,892,676
  5. Step 5: Solve for x
    x = 153,251,892,676/291,264
  6. Step 6: Final answer
    x = 526,161.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.