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Finding the Third Proportional to 211,728 and 454,158

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Solution

The third proportional to 211,728 and 454,158 is: 974,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,728 : 454,158 = 454,158 : x
  2. Step 2: Convert to fraction form
    211,728/454,158 = 454,158/x
  3. Step 3: Cross multiply
    211,728x = 454,158 × 454,158
  4. Step 4: Simplify right side
    211,728x = 206,259,488,964
  5. Step 5: Solve for x
    x = 206,259,488,964/211,728
  6. Step 6: Final answer
    x = 974,172.00

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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.