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Finding the Third Proportional to 343,605 and 696,876

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Solution

The third proportional to 343,605 and 696,876 is: 1,413,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,605 : 696,876 = 696,876 : x
  2. Step 2: Convert to fraction form
    343,605/696,876 = 696,876/x
  3. Step 3: Cross multiply
    343,605x = 696,876 × 696,876
  4. Step 4: Simplify right side
    343,605x = 485,636,159,376
  5. Step 5: Solve for x
    x = 485,636,159,376/343,605
  6. Step 6: Final answer
    x = 1,413,355.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.