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Finding the Third Proportional to 136,800 and 205,596

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Solution

The third proportional to 136,800 and 205,596 is: 308,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,800 : 205,596 = 205,596 : x
  2. Step 2: Convert to fraction form
    136,800/205,596 = 205,596/x
  3. Step 3: Cross multiply
    136,800x = 205,596 × 205,596
  4. Step 4: Simplify right side
    136,800x = 42,269,715,216
  5. Step 5: Solve for x
    x = 42,269,715,216/136,800
  6. Step 6: Final answer
    x = 308,989.15

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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.