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Finding the Third Proportional to 21.77 and 46.35

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Solution

The third proportional to 21.77 and 46.35 is: 98.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.77 : 46.35 = 46.35 : x
  2. Step 2: Convert to fraction form
    21.77/46.35 = 46.35/x
  3. Step 3: Cross multiply
    21.77x = 46.35 × 46.35
  4. Step 4: Simplify right side
    21.77x = 2,148.11
  5. Step 5: Solve for x
    x = 2,148.11/21.77
  6. Step 6: Final answer
    x = 98.66

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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.