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Finding the Third Proportional to 70.78 and 107.16

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Solution

The third proportional to 70.78 and 107.16 is: 162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.78 : 107.16 = 107.16 : x
  2. Step 2: Convert to fraction form
    70.78/107.16 = 107.16/x
  3. Step 3: Cross multiply
    70.78x = 107.16 × 107.16
  4. Step 4: Simplify right side
    70.78x = 11,482.46
  5. Step 5: Solve for x
    x = 11,482.46/70.78
  6. Step 6: Final answer
    x = 162.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.