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Finding the Third Proportional to 70.47 and 114.23

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Solution

The third proportional to 70.47 and 114.23 is: 185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.47 : 114.23 = 114.23 : x
  2. Step 2: Convert to fraction form
    70.47/114.23 = 114.23/x
  3. Step 3: Cross multiply
    70.47x = 114.23 × 114.23
  4. Step 4: Simplify right side
    70.47x = 13,049.49
  5. Step 5: Solve for x
    x = 13,049.49/70.47
  6. Step 6: Final answer
    x = 185.18

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.