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Finding the Third Proportional to 523.76 and 783.21

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Solution

The third proportional to 523.76 and 783.21 is: 1,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 783.21 = 783.21 : x
  2. Step 2: Convert to fraction form
    523.76/783.21 = 783.21/x
  3. Step 3: Cross multiply
    523.76x = 783.21 × 783.21
  4. Step 4: Simplify right side
    523.76x = 613,419.37
  5. Step 5: Solve for x
    x = 613,419.37/523.76
  6. Step 6: Final answer
    x = 1,171.19

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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.