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Finding the Third Proportional to 218,776 and 475,424

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Solution

The third proportional to 218,776 and 475,424 is: 1,033,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776 : 475,424 = 475,424 : x
  2. Step 2: Convert to fraction form
    218,776/475,424 = 475,424/x
  3. Step 3: Cross multiply
    218,776x = 475,424 × 475,424
  4. Step 4: Simplify right side
    218,776x = 226,027,979,776
  5. Step 5: Solve for x
    x = 226,027,979,776/218,776
  6. Step 6: Final answer
    x = 1,033,147.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.