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Finding the Third Proportional to 74.99 and 149.03

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Solution

The third proportional to 74.99 and 149.03 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.99 : 149.03 = 149.03 : x
  2. Step 2: Convert to fraction form
    74.99/149.03 = 149.03/x
  3. Step 3: Cross multiply
    74.99x = 149.03 × 149.03
  4. Step 4: Simplify right side
    74.99x = 22,209.15
  5. Step 5: Solve for x
    x = 22,209.15/74.99
  6. Step 6: Final answer
    x = 296.17

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.