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Finding the Third Proportional to 146,859 and 306,381

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Solution

The third proportional to 146,859 and 306,381 is: 639,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,859 : 306,381 = 306,381 : x
  2. Step 2: Convert to fraction form
    146,859/306,381 = 306,381/x
  3. Step 3: Cross multiply
    146,859x = 306,381 × 306,381
  4. Step 4: Simplify right side
    146,859x = 93,869,317,161
  5. Step 5: Solve for x
    x = 93,869,317,161/146,859
  6. Step 6: Final answer
    x = 639,179.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.