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Finding the Third Proportional to 199,850 and 259,285

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Solution

The third proportional to 199,850 and 259,285 is: 336,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,850 : 259,285 = 259,285 : x
  2. Step 2: Convert to fraction form
    199,850/259,285 = 259,285/x
  3. Step 3: Cross multiply
    199,850x = 259,285 × 259,285
  4. Step 4: Simplify right side
    199,850x = 67,228,711,225
  5. Step 5: Solve for x
    x = 67,228,711,225/199,850
  6. Step 6: Final answer
    x = 336,395.85

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.