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Finding the Third Proportional to 442,784 and 664,257

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Solution

The third proportional to 442,784 and 664,257 is: 996,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,784 : 664,257 = 664,257 : x
  2. Step 2: Convert to fraction form
    442,784/664,257 = 664,257/x
  3. Step 3: Cross multiply
    442,784x = 664,257 × 664,257
  4. Step 4: Simplify right side
    442,784x = 441,237,362,049
  5. Step 5: Solve for x
    x = 441,237,362,049/442,784
  6. Step 6: Final answer
    x = 996,507.01

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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.