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Finding the Third Proportional to 331,393 and 686,570

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Solution

The third proportional to 331,393 and 686,570 is: 1,422,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,393 : 686,570 = 686,570 : x
  2. Step 2: Convert to fraction form
    331,393/686,570 = 686,570/x
  3. Step 3: Cross multiply
    331,393x = 686,570 × 686,570
  4. Step 4: Simplify right side
    331,393x = 471,378,364,900
  5. Step 5: Solve for x
    x = 471,378,364,900/331,393
  6. Step 6: Final answer
    x = 1,422,414.97

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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.