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Finding the Third Proportional to 165,810 and 355,278

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Solution

The third proportional to 165,810 and 355,278 is: 761,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810 : 355,278 = 355,278 : x
  2. Step 2: Convert to fraction form
    165,810/355,278 = 355,278/x
  3. Step 3: Cross multiply
    165,810x = 355,278 × 355,278
  4. Step 4: Simplify right side
    165,810x = 126,222,457,284
  5. Step 5: Solve for x
    x = 126,222,457,284/165,810
  6. Step 6: Final answer
    x = 761,247.56

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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.