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Finding the Third Proportional to 442,746 and 664,215

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Solution

The third proportional to 442,746 and 664,215 is: 996,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,746 : 664,215 = 664,215 : x
  2. Step 2: Convert to fraction form
    442,746/664,215 = 664,215/x
  3. Step 3: Cross multiply
    442,746x = 664,215 × 664,215
  4. Step 4: Simplify right side
    442,746x = 441,181,566,225
  5. Step 5: Solve for x
    x = 441,181,566,225/442,746
  6. Step 6: Final answer
    x = 996,466.52

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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.