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Finding the Third Proportional to 427,282 and 664,252

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Solution

The third proportional to 427,282 and 664,252 is: 1,032,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,282 : 664,252 = 664,252 : x
  2. Step 2: Convert to fraction form
    427,282/664,252 = 664,252/x
  3. Step 3: Cross multiply
    427,282x = 664,252 × 664,252
  4. Step 4: Simplify right side
    427,282x = 441,230,719,504
  5. Step 5: Solve for x
    x = 441,230,719,504/427,282
  6. Step 6: Final answer
    x = 1,032,645.23

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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.