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Finding the Third Proportional to 203,478 and 315,441

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Solution

The third proportional to 203,478 and 315,441 is: 489,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478 : 315,441 = 315,441 : x
  2. Step 2: Convert to fraction form
    203,478/315,441 = 315,441/x
  3. Step 3: Cross multiply
    203,478x = 315,441 × 315,441
  4. Step 4: Simplify right side
    203,478x = 99,503,024,481
  5. Step 5: Solve for x
    x = 99,503,024,481/203,478
  6. Step 6: Final answer
    x = 489,011.22

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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.