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Finding the Third Proportional to 203,668 and 315,035

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Solution

The third proportional to 203,668 and 315,035 is: 487,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,668 : 315,035 = 315,035 : x
  2. Step 2: Convert to fraction form
    203,668/315,035 = 315,035/x
  3. Step 3: Cross multiply
    203,668x = 315,035 × 315,035
  4. Step 4: Simplify right side
    203,668x = 99,247,051,225
  5. Step 5: Solve for x
    x = 99,247,051,225/203,668
  6. Step 6: Final answer
    x = 487,298.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.