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Finding the Third Proportional to 70.24 and 109.48

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Solution

The third proportional to 70.24 and 109.48 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 109.48 = 109.48 : x
  2. Step 2: Convert to fraction form
    70.24/109.48 = 109.48/x
  3. Step 3: Cross multiply
    70.24x = 109.48 × 109.48
  4. Step 4: Simplify right side
    70.24x = 11,985.12
  5. Step 5: Solve for x
    x = 11,985.12/70.24
  6. Step 6: Final answer
    x = 170.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.