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Finding the Third Proportional to 84.36 and 117.47

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Solution

The third proportional to 84.36 and 117.47 is: 163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.36 : 117.47 = 117.47 : x
  2. Step 2: Convert to fraction form
    84.36/117.47 = 117.47/x
  3. Step 3: Cross multiply
    84.36x = 117.47 × 117.47
  4. Step 4: Simplify right side
    84.36x = 13,798.22
  5. Step 5: Solve for x
    x = 13,798.22/84.36
  6. Step 6: Final answer
    x = 163.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.