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Finding the Third Proportional to 67,451,195 and 145,132,609

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Solution

The third proportional to 67,451,195 and 145,132,609 is: 312,277,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451,195 : 145,132,609 = 145,132,609 : x
  2. Step 2: Convert to fraction form
    67,451,195/145,132,609 = 145,132,609/x
  3. Step 3: Cross multiply
    67,451,195x = 145,132,609 × 145,132,609
  4. Step 4: Simplify right side
    67,451,195x = 21,063,474,195,146,880
  5. Step 5: Solve for x
    x = 21,063,474,195,146,880/67,451,195
  6. Step 6: Final answer
    x = 312,277,257.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.