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Finding the Third Proportional to 203,256 and 306,382.50

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Solution

The third proportional to 203,256 and 306,382.50 is: 461,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,256 : 306,382.50 = 306,382.50 : x
  2. Step 2: Convert to fraction form
    203,256/306,382.50 = 306,382.50/x
  3. Step 3: Cross multiply
    203,256x = 306,382.50 × 306,382.50
  4. Step 4: Simplify right side
    203,256x = 93,870,236,306.25
  5. Step 5: Solve for x
    x = 93,870,236,306.25/203,256
  6. Step 6: Final answer
    x = 461,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.