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Finding the Third Proportional to 146,931 and 218,236

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Solution

The third proportional to 146,931 and 218,236 is: 324,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,931 : 218,236 = 218,236 : x
  2. Step 2: Convert to fraction form
    146,931/218,236 = 218,236/x
  3. Step 3: Cross multiply
    146,931x = 218,236 × 218,236
  4. Step 4: Simplify right side
    146,931x = 47,626,951,696
  5. Step 5: Solve for x
    x = 47,626,951,696/146,931
  6. Step 6: Final answer
    x = 324,145.02

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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.