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Finding the Third Proportional to 387,231 and 820,613

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Solution

The third proportional to 387,231 and 820,613 is: 1,739,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,231 : 820,613 = 820,613 : x
  2. Step 2: Convert to fraction form
    387,231/820,613 = 820,613/x
  3. Step 3: Cross multiply
    387,231x = 820,613 × 820,613
  4. Step 4: Simplify right side
    387,231x = 673,405,695,769
  5. Step 5: Solve for x
    x = 673,405,695,769/387,231
  6. Step 6: Final answer
    x = 1,739,028.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.