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Finding the Third Proportional to 120,371.06 and 259,787.25

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Solution

The third proportional to 120,371.06 and 259,787.25 is: 560,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,371.06 : 259,787.25 = 259,787.25 : x
  2. Step 2: Convert to fraction form
    120,371.06/259,787.25 = 259,787.25/x
  3. Step 3: Cross multiply
    120,371.06x = 259,787.25 × 259,787.25
  4. Step 4: Simplify right side
    120,371.06x = 67,489,415,262.56
  5. Step 5: Solve for x
    x = 67,489,415,262.56/120,371.06
  6. Step 6: Final answer
    x = 560,678.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.