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Finding the Third Proportional to 338,274 and 743,508

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Solution

The third proportional to 338,274 and 743,508 is: 1,634,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,274 : 743,508 = 743,508 : x
  2. Step 2: Convert to fraction form
    338,274/743,508 = 743,508/x
  3. Step 3: Cross multiply
    338,274x = 743,508 × 743,508
  4. Step 4: Simplify right side
    338,274x = 552,804,146,064
  5. Step 5: Solve for x
    x = 552,804,146,064/338,274
  6. Step 6: Final answer
    x = 1,634,190.47

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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.