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Finding the Third Proportional to 263,380 and 418,398

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Solution

The third proportional to 263,380 and 418,398 is: 664,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,380 : 418,398 = 418,398 : x
  2. Step 2: Convert to fraction form
    263,380/418,398 = 418,398/x
  3. Step 3: Cross multiply
    263,380x = 418,398 × 418,398
  4. Step 4: Simplify right side
    263,380x = 175,056,886,404
  5. Step 5: Solve for x
    x = 175,056,886,404/263,380
  6. Step 6: Final answer
    x = 664,655.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.