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Finding the Third Proportional to 206,474 and 437,758

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Solution

The third proportional to 206,474 and 437,758 is: 928,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474 : 437,758 = 437,758 : x
  2. Step 2: Convert to fraction form
    206,474/437,758 = 437,758/x
  3. Step 3: Cross multiply
    206,474x = 437,758 × 437,758
  4. Step 4: Simplify right side
    206,474x = 191,632,066,564
  5. Step 5: Solve for x
    x = 191,632,066,564/206,474
  6. Step 6: Final answer
    x = 928,117.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.