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Finding the Third Proportional to 53.19 and 81.31

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Solution

The third proportional to 53.19 and 81.31 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.19 : 81.31 = 81.31 : x
  2. Step 2: Convert to fraction form
    53.19/81.31 = 81.31/x
  3. Step 3: Cross multiply
    53.19x = 81.31 × 81.31
  4. Step 4: Simplify right side
    53.19x = 6,611.72
  5. Step 5: Solve for x
    x = 6,611.72/53.19
  6. Step 6: Final answer
    x = 124.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.