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Finding the Third Proportional to 21.03 and 45.53

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Solution

The third proportional to 21.03 and 45.53 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.03 : 45.53 = 45.53 : x
  2. Step 2: Convert to fraction form
    21.03/45.53 = 45.53/x
  3. Step 3: Cross multiply
    21.03x = 45.53 × 45.53
  4. Step 4: Simplify right side
    21.03x = 2,073.36
  5. Step 5: Solve for x
    x = 2,073.36/21.03
  6. Step 6: Final answer
    x = 98.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.