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Finding the Third Proportional to 165,715 and 254,860

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Solution

The third proportional to 165,715 and 254,860 is: 391,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,715 : 254,860 = 254,860 : x
  2. Step 2: Convert to fraction form
    165,715/254,860 = 254,860/x
  3. Step 3: Cross multiply
    165,715x = 254,860 × 254,860
  4. Step 4: Simplify right side
    165,715x = 64,953,619,600
  5. Step 5: Solve for x
    x = 64,953,619,600/165,715
  6. Step 6: Final answer
    x = 391,959.81

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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.