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Finding the Third Proportional to 146,916 and 218,214

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Solution

The third proportional to 146,916 and 218,214 is: 324,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,916 : 218,214 = 218,214 : x
  2. Step 2: Convert to fraction form
    146,916/218,214 = 218,214/x
  3. Step 3: Cross multiply
    146,916x = 218,214 × 218,214
  4. Step 4: Simplify right side
    146,916x = 47,617,349,796
  5. Step 5: Solve for x
    x = 47,617,349,796/146,916
  6. Step 6: Final answer
    x = 324,112.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.