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Finding the Third Proportional to 146,957 and 218,275

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Solution

The third proportional to 146,957 and 218,275 is: 324,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,957 : 218,275 = 218,275 : x
  2. Step 2: Convert to fraction form
    146,957/218,275 = 218,275/x
  3. Step 3: Cross multiply
    146,957x = 218,275 × 218,275
  4. Step 4: Simplify right side
    146,957x = 47,643,975,625
  5. Step 5: Solve for x
    x = 47,643,975,625/146,957
  6. Step 6: Final answer
    x = 324,203.51

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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.