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Finding the Third Proportional to 54,117 and 118,197

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Solution

The third proportional to 54,117 and 118,197 is: 258,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,117 : 118,197 = 118,197 : x
  2. Step 2: Convert to fraction form
    54,117/118,197 = 118,197/x
  3. Step 3: Cross multiply
    54,117x = 118,197 × 118,197
  4. Step 4: Simplify right side
    54,117x = 13,970,530,809
  5. Step 5: Solve for x
    x = 13,970,530,809/54,117
  6. Step 6: Final answer
    x = 258,154.20

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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.