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Finding the Third Proportional to 159,154 and 343,215

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Solution

The third proportional to 159,154 and 343,215 is: 740,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,154 : 343,215 = 343,215 : x
  2. Step 2: Convert to fraction form
    159,154/343,215 = 343,215/x
  3. Step 3: Cross multiply
    159,154x = 343,215 × 343,215
  4. Step 4: Simplify right side
    159,154x = 117,796,536,225
  5. Step 5: Solve for x
    x = 117,796,536,225/159,154
  6. Step 6: Final answer
    x = 740,141.85

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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.