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Finding the Third Proportional to 211,728 and 454,155

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Solution

The third proportional to 211,728 and 454,155 is: 974,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,728 : 454,155 = 454,155 : x
  2. Step 2: Convert to fraction form
    211,728/454,155 = 454,155/x
  3. Step 3: Cross multiply
    211,728x = 454,155 × 454,155
  4. Step 4: Simplify right side
    211,728x = 206,256,764,025
  5. Step 5: Solve for x
    x = 206,256,764,025/211,728
  6. Step 6: Final answer
    x = 974,159.13

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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.