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Finding the Third Proportional to 170,991 and 263,209.50

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Solution

The third proportional to 170,991 and 263,209.50 is: 405,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,991 : 263,209.50 = 263,209.50 : x
  2. Step 2: Convert to fraction form
    170,991/263,209.50 = 263,209.50/x
  3. Step 3: Cross multiply
    170,991x = 263,209.50 × 263,209.50
  4. Step 4: Simplify right side
    170,991x = 69,279,240,890.25
  5. Step 5: Solve for x
    x = 69,279,240,890.25/170,991
  6. Step 6: Final answer
    x = 405,163.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.