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Finding the Third Proportional to 331.59 and 522.28

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Solution

The third proportional to 331.59 and 522.28 is: 822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 522.28 = 522.28 : x
  2. Step 2: Convert to fraction form
    331.59/522.28 = 522.28/x
  3. Step 3: Cross multiply
    331.59x = 522.28 × 522.28
  4. Step 4: Simplify right side
    331.59x = 272,777.70
  5. Step 5: Solve for x
    x = 272,777.70/331.59
  6. Step 6: Final answer
    x = 822.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.