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Finding the Third Proportional to 344.72 and 737.53

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Solution

The third proportional to 344.72 and 737.53 is: 1,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 737.53 = 737.53 : x
  2. Step 2: Convert to fraction form
    344.72/737.53 = 737.53/x
  3. Step 3: Cross multiply
    344.72x = 737.53 × 737.53
  4. Step 4: Simplify right side
    344.72x = 543,952.34
  5. Step 5: Solve for x
    x = 543,952.34/344.72
  6. Step 6: Final answer
    x = 1,577.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.