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Finding the Third Proportional to 193,998 and 418,578

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Solution

The third proportional to 193,998 and 418,578 is: 903,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,998 : 418,578 = 418,578 : x
  2. Step 2: Convert to fraction form
    193,998/418,578 = 418,578/x
  3. Step 3: Cross multiply
    193,998x = 418,578 × 418,578
  4. Step 4: Simplify right side
    193,998x = 175,207,542,084
  5. Step 5: Solve for x
    x = 175,207,542,084/193,998
  6. Step 6: Final answer
    x = 903,140.97

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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.