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Finding the Third Proportional to 73.50 and 98.06

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Solution

The third proportional to 73.50 and 98.06 is: 130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 98.06 = 98.06 : x
  2. Step 2: Convert to fraction form
    73.50/98.06 = 98.06/x
  3. Step 3: Cross multiply
    73.50x = 98.06 × 98.06
  4. Step 4: Simplify right side
    73.50x = 9,616.25
  5. Step 5: Solve for x
    x = 9,616.25/73.50
  6. Step 6: Final answer
    x = 130.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.