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Finding the Third Proportional to 212,922 and 454,410

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Solution

The third proportional to 212,922 and 454,410 is: 969,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,922 : 454,410 = 454,410 : x
  2. Step 2: Convert to fraction form
    212,922/454,410 = 454,410/x
  3. Step 3: Cross multiply
    212,922x = 454,410 × 454,410
  4. Step 4: Simplify right side
    212,922x = 206,488,448,100
  5. Step 5: Solve for x
    x = 206,488,448,100/212,922
  6. Step 6: Final answer
    x = 969,784.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.