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Finding the Third Proportional to 523.69 and 783.19

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Solution

The third proportional to 523.69 and 783.19 is: 1,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 783.19 = 783.19 : x
  2. Step 2: Convert to fraction form
    523.69/783.19 = 783.19/x
  3. Step 3: Cross multiply
    523.69x = 783.19 × 783.19
  4. Step 4: Simplify right side
    523.69x = 613,382.66
  5. Step 5: Solve for x
    x = 613,382.66/523.69
  6. Step 6: Final answer
    x = 1,171.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.