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Finding the Third Proportional to 280,042 and 432,474

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Solution

The third proportional to 280,042 and 432,474 is: 667,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,042 : 432,474 = 432,474 : x
  2. Step 2: Convert to fraction form
    280,042/432,474 = 432,474/x
  3. Step 3: Cross multiply
    280,042x = 432,474 × 432,474
  4. Step 4: Simplify right side
    280,042x = 187,033,760,676
  5. Step 5: Solve for x
    x = 187,033,760,676/280,042
  6. Step 6: Final answer
    x = 667,877.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.