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Finding the Third Proportional to 522.91 and 697.57

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Solution

The third proportional to 522.91 and 697.57 is: 930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 697.57 = 697.57 : x
  2. Step 2: Convert to fraction form
    522.91/697.57 = 697.57/x
  3. Step 3: Cross multiply
    522.91x = 697.57 × 697.57
  4. Step 4: Simplify right side
    522.91x = 486,604.34
  5. Step 5: Solve for x
    x = 486,604.34/522.91
  6. Step 6: Final answer
    x = 930.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.