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Finding the Third Proportional to 120,728,158 and 261,872,489

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Solution

The third proportional to 120,728,158 and 261,872,489 is: 568,029,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728,158 : 261,872,489 = 261,872,489 : x
  2. Step 2: Convert to fraction form
    120,728,158/261,872,489 = 261,872,489/x
  3. Step 3: Cross multiply
    120,728,158x = 261,872,489 × 261,872,489
  4. Step 4: Simplify right side
    120,728,158x = 68,577,200,495,055,120
  5. Step 5: Solve for x
    x = 68,577,200,495,055,120/120,728,158
  6. Step 6: Final answer
    x = 568,029,874.98

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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.