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Finding the Third Proportional to 67,137 and 146,257

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Solution

The third proportional to 67,137 and 146,257 is: 318,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,137 : 146,257 = 146,257 : x
  2. Step 2: Convert to fraction form
    67,137/146,257 = 146,257/x
  3. Step 3: Cross multiply
    67,137x = 146,257 × 146,257
  4. Step 4: Simplify right side
    67,137x = 21,391,110,049
  5. Step 5: Solve for x
    x = 21,391,110,049/67,137
  6. Step 6: Final answer
    x = 318,618.80

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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.