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Finding the Third Proportional to 313,514 and 685,924

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Solution

The third proportional to 313,514 and 685,924 is: 1,500,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,514 : 685,924 = 685,924 : x
  2. Step 2: Convert to fraction form
    313,514/685,924 = 685,924/x
  3. Step 3: Cross multiply
    313,514x = 685,924 × 685,924
  4. Step 4: Simplify right side
    313,514x = 470,491,733,776
  5. Step 5: Solve for x
    x = 470,491,733,776/313,514
  6. Step 6: Final answer
    x = 1,500,704.06

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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.