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Finding the Third Proportional to 208,966 and 315,393

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Solution

The third proportional to 208,966 and 315,393 is: 476,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966 : 315,393 = 315,393 : x
  2. Step 2: Convert to fraction form
    208,966/315,393 = 315,393/x
  3. Step 3: Cross multiply
    208,966x = 315,393 × 315,393
  4. Step 4: Simplify right side
    208,966x = 99,472,744,449
  5. Step 5: Solve for x
    x = 99,472,744,449/208,966
  6. Step 6: Final answer
    x = 476,023.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.