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Finding the Third Proportional to 70.86 and 114.21

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Solution

The third proportional to 70.86 and 114.21 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 114.21 = 114.21 : x
  2. Step 2: Convert to fraction form
    70.86/114.21 = 114.21/x
  3. Step 3: Cross multiply
    70.86x = 114.21 × 114.21
  4. Step 4: Simplify right side
    70.86x = 13,044.14
  5. Step 5: Solve for x
    x = 13,044.14/70.86
  6. Step 6: Final answer
    x = 184.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.