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Finding the Third Proportional to 737.06 and 984.09

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Solution

The third proportional to 737.06 and 984.09 is: 1,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.06 : 984.09 = 984.09 : x
  2. Step 2: Convert to fraction form
    737.06/984.09 = 984.09/x
  3. Step 3: Cross multiply
    737.06x = 984.09 × 984.09
  4. Step 4: Simplify right side
    737.06x = 968,440.51
  5. Step 5: Solve for x
    x = 968,440.51/737.06
  6. Step 6: Final answer
    x = 1,313.92

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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.