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Finding the Third Proportional to 443,682 and 665,306

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Solution

The third proportional to 443,682 and 665,306 is: 997,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,682 : 665,306 = 665,306 : x
  2. Step 2: Convert to fraction form
    443,682/665,306 = 665,306/x
  3. Step 3: Cross multiply
    443,682x = 665,306 × 665,306
  4. Step 4: Simplify right side
    443,682x = 442,632,073,636
  5. Step 5: Solve for x
    x = 442,632,073,636/443,682
  6. Step 6: Final answer
    x = 997,633.61

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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.