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Finding the Third Proportional to 211,725 and 454,149

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Solution

The third proportional to 211,725 and 454,149 is: 974,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725 : 454,149 = 454,149 : x
  2. Step 2: Convert to fraction form
    211,725/454,149 = 454,149/x
  3. Step 3: Cross multiply
    211,725x = 454,149 × 454,149
  4. Step 4: Simplify right side
    211,725x = 206,251,314,201
  5. Step 5: Solve for x
    x = 206,251,314,201/211,725
  6. Step 6: Final answer
    x = 974,147.19

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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.