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Finding the Third Proportional to 183,230.50 and 280,295

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Solution

The third proportional to 183,230.50 and 280,295 is: 428,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,230.50 : 280,295 = 280,295 : x
  2. Step 2: Convert to fraction form
    183,230.50/280,295 = 280,295/x
  3. Step 3: Cross multiply
    183,230.50x = 280,295 × 280,295
  4. Step 4: Simplify right side
    183,230.50x = 78,565,287,025
  5. Step 5: Solve for x
    x = 78,565,287,025/183,230.50
  6. Step 6: Final answer
    x = 428,778.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.