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Finding the Third Proportional to 511.50 and 774.38

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Solution

The third proportional to 511.50 and 774.38 is: 1,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 774.38 = 774.38 : x
  2. Step 2: Convert to fraction form
    511.50/774.38 = 774.38/x
  3. Step 3: Cross multiply
    511.50x = 774.38 × 774.38
  4. Step 4: Simplify right side
    511.50x = 599,656.64
  5. Step 5: Solve for x
    x = 599,656.64/511.50
  6. Step 6: Final answer
    x = 1,172.35

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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.