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Finding the Third Proportional to 211,780 and 454,268

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Solution

The third proportional to 211,780 and 454,268 is: 974,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780 : 454,268 = 454,268 : x
  2. Step 2: Convert to fraction form
    211,780/454,268 = 454,268/x
  3. Step 3: Cross multiply
    211,780x = 454,268 × 454,268
  4. Step 4: Simplify right side
    211,780x = 206,359,415,824
  5. Step 5: Solve for x
    x = 206,359,415,824/211,780
  6. Step 6: Final answer
    x = 974,404.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.