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Finding the Third Proportional to 73.69 and 98.53

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Solution

The third proportional to 73.69 and 98.53 is: 131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 98.53 = 98.53 : x
  2. Step 2: Convert to fraction form
    73.69/98.53 = 98.53/x
  3. Step 3: Cross multiply
    73.69x = 98.53 × 98.53
  4. Step 4: Simplify right side
    73.69x = 9,708.41
  5. Step 5: Solve for x
    x = 9,708.41/73.69
  6. Step 6: Final answer
    x = 131.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.