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Finding the Third Proportional to 320,369 and 704,689

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Solution

The third proportional to 320,369 and 704,689 is: 1,550,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,369 : 704,689 = 704,689 : x
  2. Step 2: Convert to fraction form
    320,369/704,689 = 704,689/x
  3. Step 3: Cross multiply
    320,369x = 704,689 × 704,689
  4. Step 4: Simplify right side
    320,369x = 496,586,586,721
  5. Step 5: Solve for x
    x = 496,586,586,721/320,369
  6. Step 6: Final answer
    x = 1,550,045.69

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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.