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Finding the Third Proportional to 9.64 and 20.58

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Solution

The third proportional to 9.64 and 20.58 is: 43.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.64 : 20.58 = 20.58 : x
  2. Step 2: Convert to fraction form
    9.64/20.58 = 20.58/x
  3. Step 3: Cross multiply
    9.64x = 20.58 × 20.58
  4. Step 4: Simplify right side
    9.64x = 423.34
  5. Step 5: Solve for x
    x = 423.34/9.64
  6. Step 6: Final answer
    x = 43.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.