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Finding the Third Proportional to 10.32 and 21.98

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Solution

The third proportional to 10.32 and 21.98 is: 46.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.32 : 21.98 = 21.98 : x
  2. Step 2: Convert to fraction form
    10.32/21.98 = 21.98/x
  3. Step 3: Cross multiply
    10.32x = 21.98 × 21.98
  4. Step 4: Simplify right side
    10.32x = 483.14
  5. Step 5: Solve for x
    x = 483.14/10.32
  6. Step 6: Final answer
    x = 46.80

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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.