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Finding the Third Proportional to 140,868 and 206,991

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Solution

The third proportional to 140,868 and 206,991 is: 304,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,868 : 206,991 = 206,991 : x
  2. Step 2: Convert to fraction form
    140,868/206,991 = 206,991/x
  3. Step 3: Cross multiply
    140,868x = 206,991 × 206,991
  4. Step 4: Simplify right side
    140,868x = 42,845,274,081
  5. Step 5: Solve for x
    x = 42,845,274,081/140,868
  6. Step 6: Final answer
    x = 304,151.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.