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Finding the Third Proportional to 159,079 and 343,065

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Solution

The third proportional to 159,079 and 343,065 is: 739,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,079 : 343,065 = 343,065 : x
  2. Step 2: Convert to fraction form
    159,079/343,065 = 343,065/x
  3. Step 3: Cross multiply
    159,079x = 343,065 × 343,065
  4. Step 4: Simplify right side
    159,079x = 117,693,594,225
  5. Step 5: Solve for x
    x = 117,693,594,225/159,079
  6. Step 6: Final answer
    x = 739,843.69

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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.