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Finding the Third Proportional to 146,945 and 218,257

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Solution

The third proportional to 146,945 and 218,257 is: 324,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,945 : 218,257 = 218,257 : x
  2. Step 2: Convert to fraction form
    146,945/218,257 = 218,257/x
  3. Step 3: Cross multiply
    146,945x = 218,257 × 218,257
  4. Step 4: Simplify right side
    146,945x = 47,636,118,049
  5. Step 5: Solve for x
    x = 47,636,118,049/146,945
  6. Step 6: Final answer
    x = 324,176.52

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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.