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Finding the Third Proportional to 442,979 and 664,332

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Solution

The third proportional to 442,979 and 664,332 is: 996,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,979 : 664,332 = 664,332 : x
  2. Step 2: Convert to fraction form
    442,979/664,332 = 664,332/x
  3. Step 3: Cross multiply
    442,979x = 664,332 × 664,332
  4. Step 4: Simplify right side
    442,979x = 441,337,006,224
  5. Step 5: Solve for x
    x = 441,337,006,224/442,979
  6. Step 6: Final answer
    x = 996,293.29

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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.