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Finding the Third Proportional to 343,456 and 739,399

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Solution

The third proportional to 343,456 and 739,399 is: 1,591,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,456 : 739,399 = 739,399 : x
  2. Step 2: Convert to fraction form
    343,456/739,399 = 739,399/x
  3. Step 3: Cross multiply
    343,456x = 739,399 × 739,399
  4. Step 4: Simplify right side
    343,456x = 546,710,881,201
  5. Step 5: Solve for x
    x = 546,710,881,201/343,456
  6. Step 6: Final answer
    x = 1,591,793.07

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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.