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Finding the Third Proportional to 211,722 and 454,146

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Solution

The third proportional to 211,722 and 454,146 is: 974,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,722 : 454,146 = 454,146 : x
  2. Step 2: Convert to fraction form
    211,722/454,146 = 454,146/x
  3. Step 3: Cross multiply
    211,722x = 454,146 × 454,146
  4. Step 4: Simplify right side
    211,722x = 206,248,589,316
  5. Step 5: Solve for x
    x = 206,248,589,316/211,722
  6. Step 6: Final answer
    x = 974,148.12

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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.