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Finding the Third Proportional to 120,540,017 and 261,629,077

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Solution

The third proportional to 120,540,017 and 261,629,077 is: 567,859,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540,017 : 261,629,077 = 261,629,077 : x
  2. Step 2: Convert to fraction form
    120,540,017/261,629,077 = 261,629,077/x
  3. Step 3: Cross multiply
    120,540,017x = 261,629,077 × 261,629,077
  4. Step 4: Simplify right side
    120,540,017x = 68,449,773,931,871,928
  5. Step 5: Solve for x
    x = 68,449,773,931,871,928/120,540,017
  6. Step 6: Final answer
    x = 567,859,335.31

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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.