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Finding the Third Proportional to 239,857.50 and 528,009

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Solution

The third proportional to 239,857.50 and 528,009 is: 1,162,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,857.50 : 528,009 = 528,009 : x
  2. Step 2: Convert to fraction form
    239,857.50/528,009 = 528,009/x
  3. Step 3: Cross multiply
    239,857.50x = 528,009 × 528,009
  4. Step 4: Simplify right side
    239,857.50x = 278,793,504,081
  5. Step 5: Solve for x
    x = 278,793,504,081/239,857.50
  6. Step 6: Final answer
    x = 1,162,329.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.