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Finding the Third Proportional to 220,476 and 475,872

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Solution

The third proportional to 220,476 and 475,872 is: 1,027,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,476 : 475,872 = 475,872 : x
  2. Step 2: Convert to fraction form
    220,476/475,872 = 475,872/x
  3. Step 3: Cross multiply
    220,476x = 475,872 × 475,872
  4. Step 4: Simplify right side
    220,476x = 226,454,160,384
  5. Step 5: Solve for x
    x = 226,454,160,384/220,476
  6. Step 6: Final answer
    x = 1,027,114.79

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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.