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Finding the Third Proportional to 196,958 and 305,517

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Solution

The third proportional to 196,958 and 305,517 is: 473,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,958 : 305,517 = 305,517 : x
  2. Step 2: Convert to fraction form
    196,958/305,517 = 305,517/x
  3. Step 3: Cross multiply
    196,958x = 305,517 × 305,517
  4. Step 4: Simplify right side
    196,958x = 93,340,637,289
  5. Step 5: Solve for x
    x = 93,340,637,289/196,958
  6. Step 6: Final answer
    x = 473,911.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.