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Finding the Third Proportional to 165,928 and 257,357

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Solution

The third proportional to 165,928 and 257,357 is: 399,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,928 : 257,357 = 257,357 : x
  2. Step 2: Convert to fraction form
    165,928/257,357 = 257,357/x
  3. Step 3: Cross multiply
    165,928x = 257,357 × 257,357
  4. Step 4: Simplify right side
    165,928x = 66,232,625,449
  5. Step 5: Solve for x
    x = 66,232,625,449/165,928
  6. Step 6: Final answer
    x = 399,164.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.