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Finding the Third Proportional to 442,236 and 664,650

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Solution

The third proportional to 442,236 and 664,650 is: 998,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,236 : 664,650 = 664,650 : x
  2. Step 2: Convert to fraction form
    442,236/664,650 = 664,650/x
  3. Step 3: Cross multiply
    442,236x = 664,650 × 664,650
  4. Step 4: Simplify right side
    442,236x = 441,759,622,500
  5. Step 5: Solve for x
    x = 441,759,622,500/442,236
  6. Step 6: Final answer
    x = 998,922.80

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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.