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Finding the Third Proportional to 511.88 and 811.83

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Solution

The third proportional to 511.88 and 811.83 is: 1,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 811.83 = 811.83 : x
  2. Step 2: Convert to fraction form
    511.88/811.83 = 811.83/x
  3. Step 3: Cross multiply
    511.88x = 811.83 × 811.83
  4. Step 4: Simplify right side
    511.88x = 659,064.90
  5. Step 5: Solve for x
    x = 659,064.90/511.88
  6. Step 6: Final answer
    x = 1,287.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.