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Finding the Third Proportional to 331,399 and 686,582

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Solution

The third proportional to 331,399 and 686,582 is: 1,422,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,399 : 686,582 = 686,582 : x
  2. Step 2: Convert to fraction form
    331,399/686,582 = 686,582/x
  3. Step 3: Cross multiply
    331,399x = 686,582 × 686,582
  4. Step 4: Simplify right side
    331,399x = 471,394,842,724
  5. Step 5: Solve for x
    x = 471,394,842,724/331,399
  6. Step 6: Final answer
    x = 1,422,438.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.