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Finding the Third Proportional to 120,728,196 and 261,872,562

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Solution

The third proportional to 120,728,196 and 261,872,562 is: 568,030,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728,196 : 261,872,562 = 261,872,562 : x
  2. Step 2: Convert to fraction form
    120,728,196/261,872,562 = 261,872,562/x
  3. Step 3: Cross multiply
    120,728,196x = 261,872,562 × 261,872,562
  4. Step 4: Simplify right side
    120,728,196x = 68,577,238,728,443,840
  5. Step 5: Solve for x
    x = 68,577,238,728,443,840/120,728,196
  6. Step 6: Final answer
    x = 568,030,012.88

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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.