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Finding the Third Proportional to 496.13 and 777.19

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Solution

The third proportional to 496.13 and 777.19 is: 1,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 777.19 = 777.19 : x
  2. Step 2: Convert to fraction form
    496.13/777.19 = 777.19/x
  3. Step 3: Cross multiply
    496.13x = 777.19 × 777.19
  4. Step 4: Simplify right side
    496.13x = 604,020.41
  5. Step 5: Solve for x
    x = 604,020.41/496.13
  6. Step 6: Final answer
    x = 1,217.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.