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Finding the Third Proportional to 491.48 and 737.02

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Solution

The third proportional to 491.48 and 737.02 is: 1,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.48 : 737.02 = 737.02 : x
  2. Step 2: Convert to fraction form
    491.48/737.02 = 737.02/x
  3. Step 3: Cross multiply
    491.48x = 737.02 × 737.02
  4. Step 4: Simplify right side
    491.48x = 543,192.03
  5. Step 5: Solve for x
    x = 543,192.03/491.48
  6. Step 6: Final answer
    x = 1,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.