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Finding the Third Proportional to 331,340 and 441,454

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Solution

The third proportional to 331,340 and 441,454 is: 588,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,340 : 441,454 = 441,454 : x
  2. Step 2: Convert to fraction form
    331,340/441,454 = 441,454/x
  3. Step 3: Cross multiply
    331,340x = 441,454 × 441,454
  4. Step 4: Simplify right side
    331,340x = 194,881,634,116
  5. Step 5: Solve for x
    x = 194,881,634,116/331,340
  6. Step 6: Final answer
    x = 588,162.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.