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Finding the Third Proportional to 331,394 and 709,228

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Solution

The third proportional to 331,394 and 709,228 is: 1,517,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,394 : 709,228 = 709,228 : x
  2. Step 2: Convert to fraction form
    331,394/709,228 = 709,228/x
  3. Step 3: Cross multiply
    331,394x = 709,228 × 709,228
  4. Step 4: Simplify right side
    331,394x = 503,004,355,984
  5. Step 5: Solve for x
    x = 503,004,355,984/331,394
  6. Step 6: Final answer
    x = 1,517,843.88

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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.