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Finding the Third Proportional to 165,915 and 255,168

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Solution

The third proportional to 165,915 and 255,168 is: 392,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,915 : 255,168 = 255,168 : x
  2. Step 2: Convert to fraction form
    165,915/255,168 = 255,168/x
  3. Step 3: Cross multiply
    165,915x = 255,168 × 255,168
  4. Step 4: Simplify right side
    165,915x = 65,110,708,224
  5. Step 5: Solve for x
    x = 65,110,708,224/165,915
  6. Step 6: Final answer
    x = 392,434.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.