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Finding the Third Proportional to 412.03 and 736.31

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Solution

The third proportional to 412.03 and 736.31 is: 1,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.03 : 736.31 = 736.31 : x
  2. Step 2: Convert to fraction form
    412.03/736.31 = 736.31/x
  3. Step 3: Cross multiply
    412.03x = 736.31 × 736.31
  4. Step 4: Simplify right side
    412.03x = 542,156.10
  5. Step 5: Solve for x
    x = 542,156.10/412.03
  6. Step 6: Final answer
    x = 1,315.81

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.