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Finding the Third Proportional to 120,539,963.50 and 261,628,972.50

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Solution

The third proportional to 120,539,963.50 and 261,628,972.50 is: 567,859,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539,963.50 : 261,628,972.50 = 261,628,972.50 : x
  2. Step 2: Convert to fraction form
    120,539,963.50/261,628,972.50 = 261,628,972.50/x
  3. Step 3: Cross multiply
    120,539,963.50x = 261,628,972.50 × 261,628,972.50
  4. Step 4: Simplify right side
    120,539,963.50x = 68,449,719,251,405,760
  5. Step 5: Solve for x
    x = 68,449,719,251,405,760/120,539,963.50
  6. Step 6: Final answer
    x = 567,859,133.72

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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.