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Finding the Third Proportional to 159,106 and 343,115

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Solution

The third proportional to 159,106 and 343,115 is: 739,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,106 : 343,115 = 343,115 : x
  2. Step 2: Convert to fraction form
    159,106/343,115 = 343,115/x
  3. Step 3: Cross multiply
    159,106x = 343,115 × 343,115
  4. Step 4: Simplify right side
    159,106x = 117,727,903,225
  5. Step 5: Solve for x
    x = 117,727,903,225/159,106
  6. Step 6: Final answer
    x = 739,933.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.