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Finding the Third Proportional to 206,238 and 437,478

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Solution

The third proportional to 206,238 and 437,478 is: 927,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,238 : 437,478 = 437,478 : x
  2. Step 2: Convert to fraction form
    206,238/437,478 = 437,478/x
  3. Step 3: Cross multiply
    206,238x = 437,478 × 437,478
  4. Step 4: Simplify right side
    206,238x = 191,387,000,484
  5. Step 5: Solve for x
    x = 191,387,000,484/206,238
  6. Step 6: Final answer
    x = 927,990.96

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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.