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Finding the Third Proportional to 154,846 and 339,217

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Solution

The third proportional to 154,846 and 339,217 is: 743,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,846 : 339,217 = 339,217 : x
  2. Step 2: Convert to fraction form
    154,846/339,217 = 339,217/x
  3. Step 3: Cross multiply
    154,846x = 339,217 × 339,217
  4. Step 4: Simplify right side
    154,846x = 115,068,173,089
  5. Step 5: Solve for x
    x = 115,068,173,089/154,846
  6. Step 6: Final answer
    x = 743,113.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.