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Finding the Third Proportional to 109,679 and 165,328

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Solution

The third proportional to 109,679 and 165,328 is: 249,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,679 : 165,328 = 165,328 : x
  2. Step 2: Convert to fraction form
    109,679/165,328 = 165,328/x
  3. Step 3: Cross multiply
    109,679x = 165,328 × 165,328
  4. Step 4: Simplify right side
    109,679x = 27,333,347,584
  5. Step 5: Solve for x
    x = 27,333,347,584/109,679
  6. Step 6: Final answer
    x = 249,212.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.