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Finding the Third Proportional to 737.02 and 984.02

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Solution

The third proportional to 737.02 and 984.02 is: 1,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.02 : 984.02 = 984.02 : x
  2. Step 2: Convert to fraction form
    737.02/984.02 = 984.02/x
  3. Step 3: Cross multiply
    737.02x = 984.02 × 984.02
  4. Step 4: Simplify right side
    737.02x = 968,302.13
  5. Step 5: Solve for x
    x = 968,302.13/737.02
  6. Step 6: Final answer
    x = 1,313.81

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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.