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Finding the Third Proportional to 427,318 and 664,287

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Solution

The third proportional to 427,318 and 664,287 is: 1,032,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,318 : 664,287 = 664,287 : x
  2. Step 2: Convert to fraction form
    427,318/664,287 = 664,287/x
  3. Step 3: Cross multiply
    427,318x = 664,287 × 664,287
  4. Step 4: Simplify right side
    427,318x = 441,277,218,369
  5. Step 5: Solve for x
    x = 441,277,218,369/427,318
  6. Step 6: Final answer
    x = 1,032,667.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.