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Finding the Third Proportional to 9.76 and 21.01

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Solution

The third proportional to 9.76 and 21.01 is: 45.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.76 : 21.01 = 21.01 : x
  2. Step 2: Convert to fraction form
    9.76/21.01 = 21.01/x
  3. Step 3: Cross multiply
    9.76x = 21.01 × 21.01
  4. Step 4: Simplify right side
    9.76x = 441.62
  5. Step 5: Solve for x
    x = 441.62/9.76
  6. Step 6: Final answer
    x = 45.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.