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Finding the Third Proportional to 283,790 and 611,872

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Solution

The third proportional to 283,790 and 611,872 is: 1,319,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,790 : 611,872 = 611,872 : x
  2. Step 2: Convert to fraction form
    283,790/611,872 = 611,872/x
  3. Step 3: Cross multiply
    283,790x = 611,872 × 611,872
  4. Step 4: Simplify right side
    283,790x = 374,387,344,384
  5. Step 5: Solve for x
    x = 374,387,344,384/283,790
  6. Step 6: Final answer
    x = 1,319,240.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.