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Finding the Third Proportional to 221,279 and 471,514

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Solution

The third proportional to 221,279 and 471,514 is: 1,004,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,279 : 471,514 = 471,514 : x
  2. Step 2: Convert to fraction form
    221,279/471,514 = 471,514/x
  3. Step 3: Cross multiply
    221,279x = 471,514 × 471,514
  4. Step 4: Simplify right side
    221,279x = 222,325,452,196
  5. Step 5: Solve for x
    x = 222,325,452,196/221,279
  6. Step 6: Final answer
    x = 1,004,729.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.