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Finding the Third Proportional to 320,837 and 697,098

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Solution

The third proportional to 320,837 and 697,098 is: 1,514,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,837 : 697,098 = 697,098 : x
  2. Step 2: Convert to fraction form
    320,837/697,098 = 697,098/x
  3. Step 3: Cross multiply
    320,837x = 697,098 × 697,098
  4. Step 4: Simplify right side
    320,837x = 485,945,621,604
  5. Step 5: Solve for x
    x = 485,945,621,604/320,837
  6. Step 6: Final answer
    x = 1,514,618.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.