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Finding the Third Proportional to 211,459 and 476,150

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Solution

The third proportional to 211,459 and 476,150 is: 1,072,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,459 : 476,150 = 476,150 : x
  2. Step 2: Convert to fraction form
    211,459/476,150 = 476,150/x
  3. Step 3: Cross multiply
    211,459x = 476,150 × 476,150
  4. Step 4: Simplify right side
    211,459x = 226,718,822,500
  5. Step 5: Solve for x
    x = 226,718,822,500/211,459
  6. Step 6: Final answer
    x = 1,072,164.45

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.