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Finding the Third Proportional to 307,800 and 659,394

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Solution

The third proportional to 307,800 and 659,394 is: 1,412,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,800 : 659,394 = 659,394 : x
  2. Step 2: Convert to fraction form
    307,800/659,394 = 659,394/x
  3. Step 3: Cross multiply
    307,800x = 659,394 × 659,394
  4. Step 4: Simplify right side
    307,800x = 434,800,447,236
  5. Step 5: Solve for x
    x = 434,800,447,236/307,800
  6. Step 6: Final answer
    x = 1,412,607.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.