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Finding the Third Proportional to 165,574 and 256,318

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Solution

The third proportional to 165,574 and 256,318 is: 396,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,574 : 256,318 = 256,318 : x
  2. Step 2: Convert to fraction form
    165,574/256,318 = 256,318/x
  3. Step 3: Cross multiply
    165,574x = 256,318 × 256,318
  4. Step 4: Simplify right side
    165,574x = 65,698,917,124
  5. Step 5: Solve for x
    x = 65,698,917,124/165,574
  6. Step 6: Final answer
    x = 396,794.89

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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.