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Finding the Third Proportional to 120,540,015 and 261,629,073

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Solution

The third proportional to 120,540,015 and 261,629,073 is: 567,859,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540,015 : 261,629,073 = 261,629,073 : x
  2. Step 2: Convert to fraction form
    120,540,015/261,629,073 = 261,629,073/x
  3. Step 3: Cross multiply
    120,540,015x = 261,629,073 × 261,629,073
  4. Step 4: Simplify right side
    120,540,015x = 68,449,771,838,839,328
  5. Step 5: Solve for x
    x = 68,449,771,838,839,328/120,540,015
  6. Step 6: Final answer
    x = 567,859,327.37

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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.