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Finding the Third Proportional to 477 and 635.91

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Solution

The third proportional to 477 and 635.91 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 635.91 = 635.91 : x
  2. Step 2: Convert to fraction form
    477/635.91 = 635.91/x
  3. Step 3: Cross multiply
    477x = 635.91 × 635.91
  4. Step 4: Simplify right side
    477x = 404,376.76
  5. Step 5: Solve for x
    x = 404,376.76/477
  6. Step 6: Final answer
    x = 847.75

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.