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Finding the Third Proportional to 53.58 and 114.33

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Solution

The third proportional to 53.58 and 114.33 is: 243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.58 : 114.33 = 114.33 : x
  2. Step 2: Convert to fraction form
    53.58/114.33 = 114.33/x
  3. Step 3: Cross multiply
    53.58x = 114.33 × 114.33
  4. Step 4: Simplify right side
    53.58x = 13,070.92
  5. Step 5: Solve for x
    x = 13,070.92/53.58
  6. Step 6: Final answer
    x = 243.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.