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Finding the Third Proportional to 204,486.75 and 312,265.69

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Solution

The third proportional to 204,486.75 and 312,265.69 is: 476,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,486.75 : 312,265.69 = 312,265.69 : x
  2. Step 2: Convert to fraction form
    204,486.75/312,265.69 = 312,265.69/x
  3. Step 3: Cross multiply
    204,486.75x = 312,265.69 × 312,265.69
  4. Step 4: Simplify right side
    204,486.75x = 97,509,859,589.85
  5. Step 5: Solve for x
    x = 97,509,859,589.85/204,486.75
  6. Step 6: Final answer
    x = 476,851.73

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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.