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Finding the Third Proportional to 9.65 and 20.35

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Solution

The third proportional to 9.65 and 20.35 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 20.35 = 20.35 : x
  2. Step 2: Convert to fraction form
    9.65/20.35 = 20.35/x
  3. Step 3: Cross multiply
    9.65x = 20.35 × 20.35
  4. Step 4: Simplify right side
    9.65x = 414.19
  5. Step 5: Solve for x
    x = 414.19/9.65
  6. Step 6: Final answer
    x = 42.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.