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Finding the Third Proportional to 204,836,711 and 299,478,433.50

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Solution

The third proportional to 204,836,711 and 299,478,433.50 is: 437,847,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836,711 : 299,478,433.50 = 299,478,433.50 : x
  2. Step 2: Convert to fraction form
    204,836,711/299,478,433.50 = 299,478,433.50/x
  3. Step 3: Cross multiply
    204,836,711x = 299,478,433.50 × 299,478,433.50
  4. Step 4: Simplify right side
    204,836,711x = 89,687,332,131,613,920
  5. Step 5: Solve for x
    x = 89,687,332,131,613,920/204,836,711
  6. Step 6: Final answer
    x = 437,847,940.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.