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Finding the Third Proportional to 67,097 and 137,107

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Solution

The third proportional to 67,097 and 137,107 is: 280,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,097 : 137,107 = 137,107 : x
  2. Step 2: Convert to fraction form
    67,097/137,107 = 137,107/x
  3. Step 3: Cross multiply
    67,097x = 137,107 × 137,107
  4. Step 4: Simplify right side
    67,097x = 18,798,329,449
  5. Step 5: Solve for x
    x = 18,798,329,449/67,097
  6. Step 6: Final answer
    x = 280,166.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.