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Finding the Third Proportional to 212,200 and 461,720

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Solution

The third proportional to 212,200 and 461,720 is: 1,004,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,200 : 461,720 = 461,720 : x
  2. Step 2: Convert to fraction form
    212,200/461,720 = 461,720/x
  3. Step 3: Cross multiply
    212,200x = 461,720 × 461,720
  4. Step 4: Simplify right side
    212,200x = 213,185,358,400
  5. Step 5: Solve for x
    x = 213,185,358,400/212,200
  6. Step 6: Final answer
    x = 1,004,643.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.