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Finding the Third Proportional to 442,509 and 664,197

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Solution

The third proportional to 442,509 and 664,197 is: 996,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,509 : 664,197 = 664,197 : x
  2. Step 2: Convert to fraction form
    442,509/664,197 = 664,197/x
  3. Step 3: Cross multiply
    442,509x = 664,197 × 664,197
  4. Step 4: Simplify right side
    442,509x = 441,157,654,809
  5. Step 5: Solve for x
    x = 441,157,654,809/442,509
  6. Step 6: Final answer
    x = 996,946.17

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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.