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Finding the Third Proportional to 496.38 and 744.63

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Solution

The third proportional to 496.38 and 744.63 is: 1,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 744.63 = 744.63 : x
  2. Step 2: Convert to fraction form
    496.38/744.63 = 744.63/x
  3. Step 3: Cross multiply
    496.38x = 744.63 × 744.63
  4. Step 4: Simplify right side
    496.38x = 554,466.39
  5. Step 5: Solve for x
    x = 554,466.39/496.38
  6. Step 6: Final answer
    x = 1,117.03

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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.