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Finding the Third Proportional to 30,137 and 67,686

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Solution

The third proportional to 30,137 and 67,686 is: 152,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137 : 67,686 = 67,686 : x
  2. Step 2: Convert to fraction form
    30,137/67,686 = 67,686/x
  3. Step 3: Cross multiply
    30,137x = 67,686 × 67,686
  4. Step 4: Simplify right side
    30,137x = 4,581,394,596
  5. Step 5: Solve for x
    x = 4,581,394,596/30,137
  6. Step 6: Final answer
    x = 152,018.93

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.