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Finding the Third Proportional to 120,728,170 and 261,872,510

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Solution

The third proportional to 120,728,170 and 261,872,510 is: 568,029,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728,170 : 261,872,510 = 261,872,510 : x
  2. Step 2: Convert to fraction form
    120,728,170/261,872,510 = 261,872,510/x
  3. Step 3: Cross multiply
    120,728,170x = 261,872,510 × 261,872,510
  4. Step 4: Simplify right side
    120,728,170x = 68,577,211,493,700,096
  5. Step 5: Solve for x
    x = 68,577,211,493,700,096/120,728,170
  6. Step 6: Final answer
    x = 568,029,909.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.