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Finding the Third Proportional to 158,400 and 329,859

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Solution

The third proportional to 158,400 and 329,859 is: 686,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,400 : 329,859 = 329,859 : x
  2. Step 2: Convert to fraction form
    158,400/329,859 = 329,859/x
  3. Step 3: Cross multiply
    158,400x = 329,859 × 329,859
  4. Step 4: Simplify right side
    158,400x = 108,806,959,881
  5. Step 5: Solve for x
    x = 108,806,959,881/158,400
  6. Step 6: Final answer
    x = 686,912.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.