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Finding the Third Proportional to 218,511 and 472,122

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Solution

The third proportional to 218,511 and 472,122 is: 1,020,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,511 : 472,122 = 472,122 : x
  2. Step 2: Convert to fraction form
    218,511/472,122 = 472,122/x
  3. Step 3: Cross multiply
    218,511x = 472,122 × 472,122
  4. Step 4: Simplify right side
    218,511x = 222,899,182,884
  5. Step 5: Solve for x
    x = 222,899,182,884/218,511
  6. Step 6: Final answer
    x = 1,020,082.21

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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.