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Finding the Third Proportional to 136,586 and 205,275

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Solution

The third proportional to 136,586 and 205,275 is: 308,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,586 : 205,275 = 205,275 : x
  2. Step 2: Convert to fraction form
    136,586/205,275 = 205,275/x
  3. Step 3: Cross multiply
    136,586x = 205,275 × 205,275
  4. Step 4: Simplify right side
    136,586x = 42,137,825,625
  5. Step 5: Solve for x
    x = 42,137,825,625/136,586
  6. Step 6: Final answer
    x = 308,507.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.