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Finding the Third Proportional to 109,689 and 165,342

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Solution

The third proportional to 109,689 and 165,342 is: 249,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,689 : 165,342 = 165,342 : x
  2. Step 2: Convert to fraction form
    109,689/165,342 = 165,342/x
  3. Step 3: Cross multiply
    109,689x = 165,342 × 165,342
  4. Step 4: Simplify right side
    109,689x = 27,337,976,964
  5. Step 5: Solve for x
    x = 27,337,976,964/109,689
  6. Step 6: Final answer
    x = 249,231.71

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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.