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Finding the Third Proportional to 74.04 and 102.52

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Solution

The third proportional to 74.04 and 102.52 is: 141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 102.52 = 102.52 : x
  2. Step 2: Convert to fraction form
    74.04/102.52 = 102.52/x
  3. Step 3: Cross multiply
    74.04x = 102.52 × 102.52
  4. Step 4: Simplify right side
    74.04x = 10,509.45
  5. Step 5: Solve for x
    x = 10,509.45/74.04
  6. Step 6: Final answer
    x = 141.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.