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Finding the Third Proportional to 55,518.75 and 122,109.19

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Solution

The third proportional to 55,518.75 and 122,109.19 is: 268,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,518.75 : 122,109.19 = 122,109.19 : x
  2. Step 2: Convert to fraction form
    55,518.75/122,109.19 = 122,109.19/x
  3. Step 3: Cross multiply
    55,518.75x = 122,109.19 × 122,109.19
  4. Step 4: Simplify right side
    55,518.75x = 14,910,653,671.91
  5. Step 5: Solve for x
    x = 14,910,653,671.91/55,518.75
  6. Step 6: Final answer
    x = 268,569.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.