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Finding the Third Proportional to 282,464 and 395,872

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Solution

The third proportional to 282,464 and 395,872 is: 554,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464 : 395,872 = 395,872 : x
  2. Step 2: Convert to fraction form
    282,464/395,872 = 395,872/x
  3. Step 3: Cross multiply
    282,464x = 395,872 × 395,872
  4. Step 4: Simplify right side
    282,464x = 156,714,640,384
  5. Step 5: Solve for x
    x = 156,714,640,384/282,464
  6. Step 6: Final answer
    x = 554,812.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.