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Finding the Third Proportional to 443,668 and 665,286

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Solution

The third proportional to 443,668 and 665,286 is: 997,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,668 : 665,286 = 665,286 : x
  2. Step 2: Convert to fraction form
    443,668/665,286 = 665,286/x
  3. Step 3: Cross multiply
    443,668x = 665,286 × 665,286
  4. Step 4: Simplify right side
    443,668x = 442,605,461,796
  5. Step 5: Solve for x
    x = 442,605,461,796/443,668
  6. Step 6: Final answer
    x = 997,605.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.