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Finding the Third Proportional to 106,885 and 169,239

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Solution

The third proportional to 106,885 and 169,239 is: 267,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,885 : 169,239 = 169,239 : x
  2. Step 2: Convert to fraction form
    106,885/169,239 = 169,239/x
  3. Step 3: Cross multiply
    106,885x = 169,239 × 169,239
  4. Step 4: Simplify right side
    106,885x = 28,641,839,121
  5. Step 5: Solve for x
    x = 28,641,839,121/106,885
  6. Step 6: Final answer
    x = 267,968.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.