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Finding the Third Proportional to 30,838 and 67,226

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Solution

The third proportional to 30,838 and 67,226 is: 146,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838 : 67,226 = 67,226 : x
  2. Step 2: Convert to fraction form
    30,838/67,226 = 67,226/x
  3. Step 3: Cross multiply
    30,838x = 67,226 × 67,226
  4. Step 4: Simplify right side
    30,838x = 4,519,335,076
  5. Step 5: Solve for x
    x = 4,519,335,076/30,838
  6. Step 6: Final answer
    x = 146,550.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.