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Finding the Third Proportional to 338,272 and 743,503

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Solution

The third proportional to 338,272 and 743,503 is: 1,634,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,272 : 743,503 = 743,503 : x
  2. Step 2: Convert to fraction form
    338,272/743,503 = 743,503/x
  3. Step 3: Cross multiply
    338,272x = 743,503 × 743,503
  4. Step 4: Simplify right side
    338,272x = 552,796,711,009
  5. Step 5: Solve for x
    x = 552,796,711,009/338,272
  6. Step 6: Final answer
    x = 1,634,178.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.