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Finding the Third Proportional to 427.78 and 603.98

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Solution

The third proportional to 427.78 and 603.98 is: 852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 603.98 = 603.98 : x
  2. Step 2: Convert to fraction form
    427.78/603.98 = 603.98/x
  3. Step 3: Cross multiply
    427.78x = 603.98 × 603.98
  4. Step 4: Simplify right side
    427.78x = 364,797.13
  5. Step 5: Solve for x
    x = 364,797.13/427.78
  6. Step 6: Final answer
    x = 852.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.