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Finding the Third Proportional to 511.36 and 766.20

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Solution

The third proportional to 511.36 and 766.20 is: 1,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 766.20 = 766.20 : x
  2. Step 2: Convert to fraction form
    511.36/766.20 = 766.20/x
  3. Step 3: Cross multiply
    511.36x = 766.20 × 766.20
  4. Step 4: Simplify right side
    511.36x = 587,055.26
  5. Step 5: Solve for x
    x = 587,055.26/511.36
  6. Step 6: Final answer
    x = 1,148.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.