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Finding the Third Proportional to 221,215 and 471,386

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Solution

The third proportional to 221,215 and 471,386 is: 1,004,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,215 : 471,386 = 471,386 : x
  2. Step 2: Convert to fraction form
    221,215/471,386 = 471,386/x
  3. Step 3: Cross multiply
    221,215x = 471,386 × 471,386
  4. Step 4: Simplify right side
    221,215x = 222,204,760,996
  5. Step 5: Solve for x
    x = 222,204,760,996/221,215
  6. Step 6: Final answer
    x = 1,004,474.20

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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.