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Finding the Third Proportional to 451.62 and 603.98

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Solution

The third proportional to 451.62 and 603.98 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 603.98 = 603.98 : x
  2. Step 2: Convert to fraction form
    451.62/603.98 = 603.98/x
  3. Step 3: Cross multiply
    451.62x = 603.98 × 603.98
  4. Step 4: Simplify right side
    451.62x = 364,797.13
  5. Step 5: Solve for x
    x = 364,797.13/451.62
  6. Step 6: Final answer
    x = 807.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.