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Finding the Third Proportional to 120,096 and 258,747

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Solution

The third proportional to 120,096 and 258,747 is: 557,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096 : 258,747 = 258,747 : x
  2. Step 2: Convert to fraction form
    120,096/258,747 = 258,747/x
  3. Step 3: Cross multiply
    120,096x = 258,747 × 258,747
  4. Step 4: Simplify right side
    120,096x = 66,950,010,009
  5. Step 5: Solve for x
    x = 66,950,010,009/120,096
  6. Step 6: Final answer
    x = 557,470.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.