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Finding the Third Proportional to 331,395 and 686,574

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Solution

The third proportional to 331,395 and 686,574 is: 1,422,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,395 : 686,574 = 686,574 : x
  2. Step 2: Convert to fraction form
    331,395/686,574 = 686,574/x
  3. Step 3: Cross multiply
    331,395x = 686,574 × 686,574
  4. Step 4: Simplify right side
    331,395x = 471,383,857,476
  5. Step 5: Solve for x
    x = 471,383,857,476/331,395
  6. Step 6: Final answer
    x = 1,422,422.96

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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.