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Finding the Third Proportional to 136,287 and 206,892

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Solution

The third proportional to 136,287 and 206,892 is: 314,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,287 : 206,892 = 206,892 : x
  2. Step 2: Convert to fraction form
    136,287/206,892 = 206,892/x
  3. Step 3: Cross multiply
    136,287x = 206,892 × 206,892
  4. Step 4: Simplify right side
    136,287x = 42,804,299,664
  5. Step 5: Solve for x
    x = 42,804,299,664/136,287
  6. Step 6: Final answer
    x = 314,074.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.