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Finding the Third Proportional to 320,469 and 700,491

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Solution

The third proportional to 320,469 and 700,491 is: 1,531,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469 : 700,491 = 700,491 : x
  2. Step 2: Convert to fraction form
    320,469/700,491 = 700,491/x
  3. Step 3: Cross multiply
    320,469x = 700,491 × 700,491
  4. Step 4: Simplify right side
    320,469x = 490,687,641,081
  5. Step 5: Solve for x
    x = 490,687,641,081/320,469
  6. Step 6: Final answer
    x = 1,531,154.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.