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Finding the Third Proportional to 263.57 and 511.15

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Solution

The third proportional to 263.57 and 511.15 is: 991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 511.15 = 511.15 : x
  2. Step 2: Convert to fraction form
    263.57/511.15 = 511.15/x
  3. Step 3: Cross multiply
    263.57x = 511.15 × 511.15
  4. Step 4: Simplify right side
    263.57x = 261,278.72
  5. Step 5: Solve for x
    x = 261,278.72/263.57
  6. Step 6: Final answer
    x = 991.32

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.