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Finding the Third Proportional to 55.80 and 118.36

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Solution

The third proportional to 55.80 and 118.36 is: 251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.80 : 118.36 = 118.36 : x
  2. Step 2: Convert to fraction form
    55.80/118.36 = 118.36/x
  3. Step 3: Cross multiply
    55.80x = 118.36 × 118.36
  4. Step 4: Simplify right side
    55.80x = 14,008.94
  5. Step 5: Solve for x
    x = 14,008.94/55.80
  6. Step 6: Final answer
    x = 251.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.