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Finding the Third Proportional to 477 and 486

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Solution

The third proportional to 477 and 486 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 486 = 486 : x
  2. Step 2: Convert to fraction form
    477/486 = 486/x
  3. Step 3: Cross multiply
    477x = 486 × 486
  4. Step 4: Simplify right side
    477x = 236,196
  5. Step 5: Solve for x
    x = 236,196/477
  6. Step 6: Final answer
    x = 495.17

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These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.