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Finding the Third Proportional to 282,578 and 423,872

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Solution

The third proportional to 282,578 and 423,872 is: 635,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,578 : 423,872 = 423,872 : x
  2. Step 2: Convert to fraction form
    282,578/423,872 = 423,872/x
  3. Step 3: Cross multiply
    282,578x = 423,872 × 423,872
  4. Step 4: Simplify right side
    282,578x = 179,667,472,384
  5. Step 5: Solve for x
    x = 179,667,472,384/282,578
  6. Step 6: Final answer
    x = 635,815.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.