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Finding the Third Proportional to 53.74 and 115.08

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Solution

The third proportional to 53.74 and 115.08 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.74 : 115.08 = 115.08 : x
  2. Step 2: Convert to fraction form
    53.74/115.08 = 115.08/x
  3. Step 3: Cross multiply
    53.74x = 115.08 × 115.08
  4. Step 4: Simplify right side
    53.74x = 13,242.97
  5. Step 5: Solve for x
    x = 13,242.97/53.74
  6. Step 6: Final answer
    x = 246.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.