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Finding the Third Proportional to 736.48 and 1,049.72

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Solution

The third proportional to 736.48 and 1,049.72 is: 1,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.48 : 1,049.72 = 1,049.72 : x
  2. Step 2: Convert to fraction form
    736.48/1,049.72 = 1,049.72/x
  3. Step 3: Cross multiply
    736.48x = 1,049.72 × 1,049.72
  4. Step 4: Simplify right side
    736.48x = 1,101,906.38
  5. Step 5: Solve for x
    x = 1,101,906.38/736.48
  6. Step 6: Final answer
    x = 1,496.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.