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Finding the Third Proportional to 511.50 and 800.16

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Solution

The third proportional to 511.50 and 800.16 is: 1,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 800.16 = 800.16 : x
  2. Step 2: Convert to fraction form
    511.50/800.16 = 800.16/x
  3. Step 3: Cross multiply
    511.50x = 800.16 × 800.16
  4. Step 4: Simplify right side
    511.50x = 640,250.02
  5. Step 5: Solve for x
    x = 640,250.02/511.50
  6. Step 6: Final answer
    x = 1,251.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.