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Finding the Third Proportional to 133,872.75 and 289,787.63

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Solution

The third proportional to 133,872.75 and 289,787.63 is: 627,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872.75 : 289,787.63 = 289,787.63 : x
  2. Step 2: Convert to fraction form
    133,872.75/289,787.63 = 289,787.63/x
  3. Step 3: Cross multiply
    133,872.75x = 289,787.63 × 289,787.63
  4. Step 4: Simplify right side
    133,872.75x = 83,976,867,603.14
  5. Step 5: Solve for x
    x = 83,976,867,603.14/133,872.75
  6. Step 6: Final answer
    x = 627,288.73

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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.