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Finding the Third Proportional to 490,467 and 665,716

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Solution

The third proportional to 490,467 and 665,716 is: 903,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,467 : 665,716 = 665,716 : x
  2. Step 2: Convert to fraction form
    490,467/665,716 = 665,716/x
  3. Step 3: Cross multiply
    490,467x = 665,716 × 665,716
  4. Step 4: Simplify right side
    490,467x = 443,177,792,656
  5. Step 5: Solve for x
    x = 443,177,792,656/490,467
  6. Step 6: Final answer
    x = 903,583.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.