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Finding the Third Proportional to 54,678 and 118,842

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Solution

The third proportional to 54,678 and 118,842 is: 258,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678 : 118,842 = 118,842 : x
  2. Step 2: Convert to fraction form
    54,678/118,842 = 118,842/x
  3. Step 3: Cross multiply
    54,678x = 118,842 × 118,842
  4. Step 4: Simplify right side
    54,678x = 14,123,420,964
  5. Step 5: Solve for x
    x = 14,123,420,964/54,678
  6. Step 6: Final answer
    x = 258,301.71

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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.