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Finding the Third Proportional to 55,640 and 120,336

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Solution

The third proportional to 55,640 and 120,336 is: 260,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,640 : 120,336 = 120,336 : x
  2. Step 2: Convert to fraction form
    55,640/120,336 = 120,336/x
  3. Step 3: Cross multiply
    55,640x = 120,336 × 120,336
  4. Step 4: Simplify right side
    55,640x = 14,480,752,896
  5. Step 5: Solve for x
    x = 14,480,752,896/55,640
  6. Step 6: Final answer
    x = 260,257.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.