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Finding the Third Proportional to 426.75 and 612.94

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Solution

The third proportional to 426.75 and 612.94 is: 880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 612.94 = 612.94 : x
  2. Step 2: Convert to fraction form
    426.75/612.94 = 612.94/x
  3. Step 3: Cross multiply
    426.75x = 612.94 × 612.94
  4. Step 4: Simplify right side
    426.75x = 375,692.38
  5. Step 5: Solve for x
    x = 375,692.38/426.75
  6. Step 6: Final answer
    x = 880.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.