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Finding the Third Proportional to 73.13 and 103.50

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Solution

The third proportional to 73.13 and 103.50 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 103.50 = 103.50 : x
  2. Step 2: Convert to fraction form
    73.13/103.50 = 103.50/x
  3. Step 3: Cross multiply
    73.13x = 103.50 × 103.50
  4. Step 4: Simplify right side
    73.13x = 10,712.25
  5. Step 5: Solve for x
    x = 10,712.25/73.13
  6. Step 6: Final answer
    x = 146.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.