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Finding the Third Proportional to 21.36 and 45.80

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Solution

The third proportional to 21.36 and 45.80 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.36 : 45.80 = 45.80 : x
  2. Step 2: Convert to fraction form
    21.36/45.80 = 45.80/x
  3. Step 3: Cross multiply
    21.36x = 45.80 × 45.80
  4. Step 4: Simplify right side
    21.36x = 2,097.62
  5. Step 5: Solve for x
    x = 2,097.62/21.36
  6. Step 6: Final answer
    x = 98.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.