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Finding the Third Proportional to 400.99 and 533.57

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Solution

The third proportional to 400.99 and 533.57 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.99 : 533.57 = 533.57 : x
  2. Step 2: Convert to fraction form
    400.99/533.57 = 533.57/x
  3. Step 3: Cross multiply
    400.99x = 533.57 × 533.57
  4. Step 4: Simplify right side
    400.99x = 284,693.11
  5. Step 5: Solve for x
    x = 284,693.11/400.99
  6. Step 6: Final answer
    x = 709.97

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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.