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Finding the Third Proportional to 79.50 and 100.03

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Solution

The third proportional to 79.50 and 100.03 is: 125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.50 : 100.03 = 100.03 : x
  2. Step 2: Convert to fraction form
    79.50/100.03 = 100.03/x
  3. Step 3: Cross multiply
    79.50x = 100.03 × 100.03
  4. Step 4: Simplify right side
    79.50x = 10,006.25
  5. Step 5: Solve for x
    x = 10,006.25/79.50
  6. Step 6: Final answer
    x = 125.86

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.