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Finding the Third Proportional to 529 and 778.25

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Solution

The third proportional to 529 and 778.25 is: 1,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529 : 778.25 = 778.25 : x
  2. Step 2: Convert to fraction form
    529/778.25 = 778.25/x
  3. Step 3: Cross multiply
    529x = 778.25 × 778.25
  4. Step 4: Simplify right side
    529x = 605,673.06
  5. Step 5: Solve for x
    x = 605,673.06/529
  6. Step 6: Final answer
    x = 1,144.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.