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Finding the Third Proportional to 217,120 and 471,375

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Solution

The third proportional to 217,120 and 471,375 is: 1,023,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,120 : 471,375 = 471,375 : x
  2. Step 2: Convert to fraction form
    217,120/471,375 = 471,375/x
  3. Step 3: Cross multiply
    217,120x = 471,375 × 471,375
  4. Step 4: Simplify right side
    217,120x = 222,194,390,625
  5. Step 5: Solve for x
    x = 222,194,390,625/217,120
  6. Step 6: Final answer
    x = 1,023,371.36

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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.