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Finding the Third Proportional to 211,056 and 454,368

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Solution

The third proportional to 211,056 and 454,368 is: 978,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,056 : 454,368 = 454,368 : x
  2. Step 2: Convert to fraction form
    211,056/454,368 = 454,368/x
  3. Step 3: Cross multiply
    211,056x = 454,368 × 454,368
  4. Step 4: Simplify right side
    211,056x = 206,450,279,424
  5. Step 5: Solve for x
    x = 206,450,279,424/211,056
  6. Step 6: Final answer
    x = 978,177.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.