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Finding the Third Proportional to 71.30 and 107.16

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Solution

The third proportional to 71.30 and 107.16 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.30 : 107.16 = 107.16 : x
  2. Step 2: Convert to fraction form
    71.30/107.16 = 107.16/x
  3. Step 3: Cross multiply
    71.30x = 107.16 × 107.16
  4. Step 4: Simplify right side
    71.30x = 11,482.46
  5. Step 5: Solve for x
    x = 11,482.46/71.30
  6. Step 6: Final answer
    x = 161.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.