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Finding the Third Proportional to 68.03 and 80.10

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Solution

The third proportional to 68.03 and 80.10 is: 94.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.03 : 80.10 = 80.10 : x
  2. Step 2: Convert to fraction form
    68.03/80.10 = 80.10/x
  3. Step 3: Cross multiply
    68.03x = 80.10 × 80.10
  4. Step 4: Simplify right side
    68.03x = 6,415.40
  5. Step 5: Solve for x
    x = 6,415.40/68.03
  6. Step 6: Final answer
    x = 94.31

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.