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Finding the Third Proportional to 345,396 and 743,279

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Solution

The third proportional to 345,396 and 743,279 is: 1,599,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,396 : 743,279 = 743,279 : x
  2. Step 2: Convert to fraction form
    345,396/743,279 = 743,279/x
  3. Step 3: Cross multiply
    345,396x = 743,279 × 743,279
  4. Step 4: Simplify right side
    345,396x = 552,463,671,841
  5. Step 5: Solve for x
    x = 552,463,671,841/345,396
  6. Step 6: Final answer
    x = 1,599,508.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.