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Finding the Third Proportional to 443,216 and 664,692

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Solution

The third proportional to 443,216 and 664,692 is: 996,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,216 : 664,692 = 664,692 : x
  2. Step 2: Convert to fraction form
    443,216/664,692 = 664,692/x
  3. Step 3: Cross multiply
    443,216x = 664,692 × 664,692
  4. Step 4: Simplify right side
    443,216x = 441,815,454,864
  5. Step 5: Solve for x
    x = 441,815,454,864/443,216
  6. Step 6: Final answer
    x = 996,840.04

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Why These Related Problems?

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