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Finding the Third Proportional to 206,438 and 437,683

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Solution

The third proportional to 206,438 and 437,683 is: 927,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438 : 437,683 = 437,683 : x
  2. Step 2: Convert to fraction form
    206,438/437,683 = 437,683/x
  3. Step 3: Cross multiply
    206,438x = 437,683 × 437,683
  4. Step 4: Simplify right side
    206,438x = 191,566,408,489
  5. Step 5: Solve for x
    x = 191,566,408,489/206,438
  6. Step 6: Final answer
    x = 927,960.98

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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.