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Finding the Third Proportional to 427,376 and 664,384

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Solution

The third proportional to 427,376 and 664,384 is: 1,032,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,376 : 664,384 = 664,384 : x
  2. Step 2: Convert to fraction form
    427,376/664,384 = 664,384/x
  3. Step 3: Cross multiply
    427,376x = 664,384 × 664,384
  4. Step 4: Simplify right side
    427,376x = 441,406,099,456
  5. Step 5: Solve for x
    x = 441,406,099,456/427,376
  6. Step 6: Final answer
    x = 1,032,828.47

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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.