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Finding the Third Proportional to 76.63 and 109.16

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Solution

The third proportional to 76.63 and 109.16 is: 155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.63 : 109.16 = 109.16 : x
  2. Step 2: Convert to fraction form
    76.63/109.16 = 109.16/x
  3. Step 3: Cross multiply
    76.63x = 109.16 × 109.16
  4. Step 4: Simplify right side
    76.63x = 11,915.09
  5. Step 5: Solve for x
    x = 11,915.09/76.63
  6. Step 6: Final answer
    x = 155.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.