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Finding the Third Proportional to 308,655 and 673,868

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Solution

The third proportional to 308,655 and 673,868 is: 1,471,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,655 : 673,868 = 673,868 : x
  2. Step 2: Convert to fraction form
    308,655/673,868 = 673,868/x
  3. Step 3: Cross multiply
    308,655x = 673,868 × 673,868
  4. Step 4: Simplify right side
    308,655x = 454,098,081,424
  5. Step 5: Solve for x
    x = 454,098,081,424/308,655
  6. Step 6: Final answer
    x = 1,471,215.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.