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Finding the Third Proportional to 165,816 and 355,286

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Solution

The third proportional to 165,816 and 355,286 is: 761,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,816 : 355,286 = 355,286 : x
  2. Step 2: Convert to fraction form
    165,816/355,286 = 355,286/x
  3. Step 3: Cross multiply
    165,816x = 355,286 × 355,286
  4. Step 4: Simplify right side
    165,816x = 126,228,141,796
  5. Step 5: Solve for x
    x = 126,228,141,796/165,816
  6. Step 6: Final answer
    x = 761,254.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.