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Finding the Third Proportional to 159,372 and 343,338

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Solution

The third proportional to 159,372 and 343,338 is: 739,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,372 : 343,338 = 343,338 : x
  2. Step 2: Convert to fraction form
    159,372/343,338 = 343,338/x
  3. Step 3: Cross multiply
    159,372x = 343,338 × 343,338
  4. Step 4: Simplify right side
    159,372x = 117,880,982,244
  5. Step 5: Solve for x
    x = 117,880,982,244/159,372
  6. Step 6: Final answer
    x = 739,659.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.