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Finding the Third Proportional to 412.80 and 604.55

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Solution

The third proportional to 412.80 and 604.55 is: 885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 604.55 = 604.55 : x
  2. Step 2: Convert to fraction form
    412.80/604.55 = 604.55/x
  3. Step 3: Cross multiply
    412.80x = 604.55 × 604.55
  4. Step 4: Simplify right side
    412.80x = 365,476.92
  5. Step 5: Solve for x
    x = 365,476.92/412.80
  6. Step 6: Final answer
    x = 885.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.