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Finding the Third Proportional to 100,683 and 205,731

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Solution

The third proportional to 100,683 and 205,731 is: 420,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683 : 205,731 = 205,731 : x
  2. Step 2: Convert to fraction form
    100,683/205,731 = 205,731/x
  3. Step 3: Cross multiply
    100,683x = 205,731 × 205,731
  4. Step 4: Simplify right side
    100,683x = 42,325,244,361
  5. Step 5: Solve for x
    x = 42,325,244,361/100,683
  6. Step 6: Final answer
    x = 420,381.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.