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Finding the Third Proportional to 219,348 and 471,339

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Solution

The third proportional to 219,348 and 471,339 is: 1,012,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348 : 471,339 = 471,339 : x
  2. Step 2: Convert to fraction form
    219,348/471,339 = 471,339/x
  3. Step 3: Cross multiply
    219,348x = 471,339 × 471,339
  4. Step 4: Simplify right side
    219,348x = 222,160,452,921
  5. Step 5: Solve for x
    x = 222,160,452,921/219,348
  6. Step 6: Final answer
    x = 1,012,821.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.