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Finding the Third Proportional to 7.03 and 9.35

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Solution

The third proportional to 7.03 and 9.35 is: 12.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.03 : 9.35 = 9.35 : x
  2. Step 2: Convert to fraction form
    7.03/9.35 = 9.35/x
  3. Step 3: Cross multiply
    7.03x = 9.35 × 9.35
  4. Step 4: Simplify right side
    7.03x = 87.45
  5. Step 5: Solve for x
    x = 87.45/7.03
  6. Step 6: Final answer
    x = 12.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.