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Finding the Third Proportional to 136,267,478 and 204,351,188

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Solution

The third proportional to 136,267,478 and 204,351,188 is: 306,451,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,267,478 : 204,351,188 = 204,351,188 : x
  2. Step 2: Convert to fraction form
    136,267,478/204,351,188 = 204,351,188/x
  3. Step 3: Cross multiply
    136,267,478x = 204,351,188 × 204,351,188
  4. Step 4: Simplify right side
    136,267,478x = 41,759,408,037,011,344
  5. Step 5: Solve for x
    x = 41,759,408,037,011,344/136,267,478
  6. Step 6: Final answer
    x = 306,451,756.87

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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.