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Finding the Third Proportional to 523.18 and 813.48

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Solution

The third proportional to 523.18 and 813.48 is: 1,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.18 : 813.48 = 813.48 : x
  2. Step 2: Convert to fraction form
    523.18/813.48 = 813.48/x
  3. Step 3: Cross multiply
    523.18x = 813.48 × 813.48
  4. Step 4: Simplify right side
    523.18x = 661,750.47
  5. Step 5: Solve for x
    x = 661,750.47/523.18
  6. Step 6: Final answer
    x = 1,264.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.