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Finding the Third Proportional to 48.33 and 100.02

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Solution

The third proportional to 48.33 and 100.02 is: 206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.33 : 100.02 = 100.02 : x
  2. Step 2: Convert to fraction form
    48.33/100.02 = 100.02/x
  3. Step 3: Cross multiply
    48.33x = 100.02 × 100.02
  4. Step 4: Simplify right side
    48.33x = 10,003.13
  5. Step 5: Solve for x
    x = 10,003.13/48.33
  6. Step 6: Final answer
    x = 206.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.