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Finding the Third Proportional to 320,381 and 704,713

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Solution

The third proportional to 320,381 and 704,713 is: 1,550,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,381 : 704,713 = 704,713 : x
  2. Step 2: Convert to fraction form
    320,381/704,713 = 704,713/x
  3. Step 3: Cross multiply
    320,381x = 704,713 × 704,713
  4. Step 4: Simplify right side
    320,381x = 496,620,412,369
  5. Step 5: Solve for x
    x = 496,620,412,369/320,381
  6. Step 6: Final answer
    x = 1,550,093.21

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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.