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Finding the Third Proportional to 159,485 and 345,214

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Solution

The third proportional to 159,485 and 345,214 is: 747,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,485 : 345,214 = 345,214 : x
  2. Step 2: Convert to fraction form
    159,485/345,214 = 345,214/x
  3. Step 3: Cross multiply
    159,485x = 345,214 × 345,214
  4. Step 4: Simplify right side
    159,485x = 119,172,705,796
  5. Step 5: Solve for x
    x = 119,172,705,796/159,485
  6. Step 6: Final answer
    x = 747,234.57

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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.