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Finding the Third Proportional to 68,469 and 149,453

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Solution

The third proportional to 68,469 and 149,453 is: 326,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,469 : 149,453 = 149,453 : x
  2. Step 2: Convert to fraction form
    68,469/149,453 = 149,453/x
  3. Step 3: Cross multiply
    68,469x = 149,453 × 149,453
  4. Step 4: Simplify right side
    68,469x = 22,336,199,209
  5. Step 5: Solve for x
    x = 22,336,199,209/68,469
  6. Step 6: Final answer
    x = 326,223.53

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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.