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Finding the Third Proportional to 53.00 and 115.96

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Solution

The third proportional to 53.00 and 115.96 is: 253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.00 : 115.96 = 115.96 : x
  2. Step 2: Convert to fraction form
    53.00/115.96 = 115.96/x
  3. Step 3: Cross multiply
    53.00x = 115.96 × 115.96
  4. Step 4: Simplify right side
    53.00x = 13,447.39
  5. Step 5: Solve for x
    x = 13,447.39/53.00
  6. Step 6: Final answer
    x = 253.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.