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Finding the Third Proportional to 67,143 and 146,273

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Solution

The third proportional to 67,143 and 146,273 is: 318,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,143 : 146,273 = 146,273 : x
  2. Step 2: Convert to fraction form
    67,143/146,273 = 146,273/x
  3. Step 3: Cross multiply
    67,143x = 146,273 × 146,273
  4. Step 4: Simplify right side
    67,143x = 21,395,790,529
  5. Step 5: Solve for x
    x = 21,395,790,529/67,143
  6. Step 6: Final answer
    x = 318,660.03

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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.