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Finding the Third Proportional to 165,805 and 355,249

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Solution

The third proportional to 165,805 and 355,249 is: 761,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805 : 355,249 = 355,249 : x
  2. Step 2: Convert to fraction form
    165,805/355,249 = 355,249/x
  3. Step 3: Cross multiply
    165,805x = 355,249 × 355,249
  4. Step 4: Simplify right side
    165,805x = 126,201,852,001
  5. Step 5: Solve for x
    x = 126,201,852,001/165,805
  6. Step 6: Final answer
    x = 761,146.24

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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.