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Finding the Third Proportional to 165,546 and 218,581

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Solution

The third proportional to 165,546 and 218,581 is: 288,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,546 : 218,581 = 218,581 : x
  2. Step 2: Convert to fraction form
    165,546/218,581 = 218,581/x
  3. Step 3: Cross multiply
    165,546x = 218,581 × 218,581
  4. Step 4: Simplify right side
    165,546x = 47,777,653,561
  5. Step 5: Solve for x
    x = 47,777,653,561/165,546
  6. Step 6: Final answer
    x = 288,606.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.