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Finding the Third Proportional to 511.84 and 772.00

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Solution

The third proportional to 511.84 and 772.00 is: 1,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 772.00 = 772.00 : x
  2. Step 2: Convert to fraction form
    511.84/772.00 = 772.00/x
  3. Step 3: Cross multiply
    511.84x = 772.00 × 772.00
  4. Step 4: Simplify right side
    511.84x = 595,977.97
  5. Step 5: Solve for x
    x = 595,977.97/511.84
  6. Step 6: Final answer
    x = 1,164.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.