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Finding the Third Proportional to 203,608 and 310,677

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Solution

The third proportional to 203,608 and 310,677 is: 474,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,608 : 310,677 = 310,677 : x
  2. Step 2: Convert to fraction form
    203,608/310,677 = 310,677/x
  3. Step 3: Cross multiply
    203,608x = 310,677 × 310,677
  4. Step 4: Simplify right side
    203,608x = 96,520,198,329
  5. Step 5: Solve for x
    x = 96,520,198,329/203,608
  6. Step 6: Final answer
    x = 474,049.15

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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.