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Finding the Third Proportional to 67,940 and 144,102

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Solution

The third proportional to 67,940 and 144,102 is: 305,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,940 : 144,102 = 144,102 : x
  2. Step 2: Convert to fraction form
    67,940/144,102 = 144,102/x
  3. Step 3: Cross multiply
    67,940x = 144,102 × 144,102
  4. Step 4: Simplify right side
    67,940x = 20,765,386,404
  5. Step 5: Solve for x
    x = 20,765,386,404/67,940
  6. Step 6: Final answer
    x = 305,643.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.