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Finding the Third Proportional to 406.13 and 604.55

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Solution

The third proportional to 406.13 and 604.55 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 604.55 = 604.55 : x
  2. Step 2: Convert to fraction form
    406.13/604.55 = 604.55/x
  3. Step 3: Cross multiply
    406.13x = 604.55 × 604.55
  4. Step 4: Simplify right side
    406.13x = 365,476.92
  5. Step 5: Solve for x
    x = 365,476.92/406.13
  6. Step 6: Final answer
    x = 899.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.