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Finding the Third Proportional to 511.17 and 792.98

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Solution

The third proportional to 511.17 and 792.98 is: 1,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.17 : 792.98 = 792.98 : x
  2. Step 2: Convert to fraction form
    511.17/792.98 = 792.98/x
  3. Step 3: Cross multiply
    511.17x = 792.98 × 792.98
  4. Step 4: Simplify right side
    511.17x = 628,824.22
  5. Step 5: Solve for x
    x = 628,824.22/511.17
  6. Step 6: Final answer
    x = 1,230.16

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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.