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Finding the Third Proportional to 100.13 and 121.99

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Solution

The third proportional to 100.13 and 121.99 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 121.99 = 121.99 : x
  2. Step 2: Convert to fraction form
    100.13/121.99 = 121.99/x
  3. Step 3: Cross multiply
    100.13x = 121.99 × 121.99
  4. Step 4: Simplify right side
    100.13x = 14,882.09
  5. Step 5: Solve for x
    x = 14,882.09/100.13
  6. Step 6: Final answer
    x = 148.64

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.