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Finding the Third Proportional to 67,689 and 146,214

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Solution

The third proportional to 67,689 and 146,214 is: 315,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,689 : 146,214 = 146,214 : x
  2. Step 2: Convert to fraction form
    67,689/146,214 = 146,214/x
  3. Step 3: Cross multiply
    67,689x = 146,214 × 146,214
  4. Step 4: Simplify right side
    67,689x = 21,378,533,796
  5. Step 5: Solve for x
    x = 21,378,533,796/67,689
  6. Step 6: Final answer
    x = 315,834.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.