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Finding the Third Proportional to 351,821 and 686,144

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Solution

The third proportional to 351,821 and 686,144 is: 1,338,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,821 : 686,144 = 686,144 : x
  2. Step 2: Convert to fraction form
    351,821/686,144 = 686,144/x
  3. Step 3: Cross multiply
    351,821x = 686,144 × 686,144
  4. Step 4: Simplify right side
    351,821x = 470,793,588,736
  5. Step 5: Solve for x
    x = 470,793,588,736/351,821
  6. Step 6: Final answer
    x = 1,338,162.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.