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Finding the Third Proportional to 320,367 and 704,685

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Solution

The third proportional to 320,367 and 704,685 is: 1,550,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,367 : 704,685 = 704,685 : x
  2. Step 2: Convert to fraction form
    320,367/704,685 = 704,685/x
  3. Step 3: Cross multiply
    320,367x = 704,685 × 704,685
  4. Step 4: Simplify right side
    320,367x = 496,580,949,225
  5. Step 5: Solve for x
    x = 496,580,949,225/320,367
  6. Step 6: Final answer
    x = 1,550,037.77

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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.