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Finding the Third Proportional to 54,915 and 119,901

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Solution

The third proportional to 54,915 and 119,901 is: 261,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,915 : 119,901 = 119,901 : x
  2. Step 2: Convert to fraction form
    54,915/119,901 = 119,901/x
  3. Step 3: Cross multiply
    54,915x = 119,901 × 119,901
  4. Step 4: Simplify right side
    54,915x = 14,376,249,801
  5. Step 5: Solve for x
    x = 14,376,249,801/54,915
  6. Step 6: Final answer
    x = 261,790.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.