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Finding the Third Proportional to 212,800 and 450,188

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Solution

The third proportional to 212,800 and 450,188 is: 952,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,800 : 450,188 = 450,188 : x
  2. Step 2: Convert to fraction form
    212,800/450,188 = 450,188/x
  3. Step 3: Cross multiply
    212,800x = 450,188 × 450,188
  4. Step 4: Simplify right side
    212,800x = 202,669,235,344
  5. Step 5: Solve for x
    x = 202,669,235,344/212,800
  6. Step 6: Final answer
    x = 952,393.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.