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Finding the Third Proportional to 211,784 and 454,276

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Solution

The third proportional to 211,784 and 454,276 is: 974,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784 : 454,276 = 454,276 : x
  2. Step 2: Convert to fraction form
    211,784/454,276 = 454,276/x
  3. Step 3: Cross multiply
    211,784x = 454,276 × 454,276
  4. Step 4: Simplify right side
    211,784x = 206,366,684,176
  5. Step 5: Solve for x
    x = 206,366,684,176/211,784
  6. Step 6: Final answer
    x = 974,420.56

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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.