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Finding the Third Proportional to 268,644 and 564,872

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Solution

The third proportional to 268,644 and 564,872 is: 1,187,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,644 : 564,872 = 564,872 : x
  2. Step 2: Convert to fraction form
    268,644/564,872 = 564,872/x
  3. Step 3: Cross multiply
    268,644x = 564,872 × 564,872
  4. Step 4: Simplify right side
    268,644x = 319,080,376,384
  5. Step 5: Solve for x
    x = 319,080,376,384/268,644
  6. Step 6: Final answer
    x = 1,187,744.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.