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Finding the Third Proportional to 320,375 and 704,699

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Solution

The third proportional to 320,375 and 704,699 is: 1,550,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,375 : 704,699 = 704,699 : x
  2. Step 2: Convert to fraction form
    320,375/704,699 = 704,699/x
  3. Step 3: Cross multiply
    320,375x = 704,699 × 704,699
  4. Step 4: Simplify right side
    320,375x = 496,600,680,601
  5. Step 5: Solve for x
    x = 496,600,680,601/320,375
  6. Step 6: Final answer
    x = 1,550,060.65

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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.