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Finding the Third Proportional to 21.26 and 45.35

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Solution

The third proportional to 21.26 and 45.35 is: 96.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.26 : 45.35 = 45.35 : x
  2. Step 2: Convert to fraction form
    21.26/45.35 = 45.35/x
  3. Step 3: Cross multiply
    21.26x = 45.35 × 45.35
  4. Step 4: Simplify right side
    21.26x = 2,056.76
  5. Step 5: Solve for x
    x = 2,056.76/21.26
  6. Step 6: Final answer
    x = 96.75

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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.