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Finding the Third Proportional to 52.03 and 73.78

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Solution

The third proportional to 52.03 and 73.78 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 73.78 = 73.78 : x
  2. Step 2: Convert to fraction form
    52.03/73.78 = 73.78/x
  3. Step 3: Cross multiply
    52.03x = 73.78 × 73.78
  4. Step 4: Simplify right side
    52.03x = 5,443.67
  5. Step 5: Solve for x
    x = 5,443.67/52.03
  6. Step 6: Final answer
    x = 104.62

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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.