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Finding the Third Proportional to 68,689 and 144,860

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Solution

The third proportional to 68,689 and 144,860 is: 305,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,689 : 144,860 = 144,860 : x
  2. Step 2: Convert to fraction form
    68,689/144,860 = 144,860/x
  3. Step 3: Cross multiply
    68,689x = 144,860 × 144,860
  4. Step 4: Simplify right side
    68,689x = 20,984,419,600
  5. Step 5: Solve for x
    x = 20,984,419,600/68,689
  6. Step 6: Final answer
    x = 305,498.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.