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Finding the Third Proportional to 393,108 and 817,314

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Solution

The third proportional to 393,108 and 817,314 is: 1,699,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,108 : 817,314 = 817,314 : x
  2. Step 2: Convert to fraction form
    393,108/817,314 = 817,314/x
  3. Step 3: Cross multiply
    393,108x = 817,314 × 817,314
  4. Step 4: Simplify right side
    393,108x = 668,002,174,596
  5. Step 5: Solve for x
    x = 668,002,174,596/393,108
  6. Step 6: Final answer
    x = 1,699,284.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.