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Finding the Third Proportional to 205,171.31 and 306,936

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Solution

The third proportional to 205,171.31 and 306,936 is: 459,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,171.31 : 306,936 = 306,936 : x
  2. Step 2: Convert to fraction form
    205,171.31/306,936 = 306,936/x
  3. Step 3: Cross multiply
    205,171.31x = 306,936 × 306,936
  4. Step 4: Simplify right side
    205,171.31x = 94,209,708,096
  5. Step 5: Solve for x
    x = 94,209,708,096/205,171.31
  6. Step 6: Final answer
    x = 459,175.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.