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Finding the Third Proportional to 52,104.50 and 112,109

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Solution

The third proportional to 52,104.50 and 112,109 is: 241,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.50 : 112,109 = 112,109 : x
  2. Step 2: Convert to fraction form
    52,104.50/112,109 = 112,109/x
  3. Step 3: Cross multiply
    52,104.50x = 112,109 × 112,109
  4. Step 4: Simplify right side
    52,104.50x = 12,568,427,881
  5. Step 5: Solve for x
    x = 12,568,427,881/52,104.50
  6. Step 6: Final answer
    x = 241,215.79

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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.