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Finding the Third Proportional to 212,211 and 461,745

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Solution

The third proportional to 212,211 and 461,745 is: 1,004,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,211 : 461,745 = 461,745 : x
  2. Step 2: Convert to fraction form
    212,211/461,745 = 461,745/x
  3. Step 3: Cross multiply
    212,211x = 461,745 × 461,745
  4. Step 4: Simplify right side
    212,211x = 213,208,445,025
  5. Step 5: Solve for x
    x = 213,208,445,025/212,211
  6. Step 6: Final answer
    x = 1,004,700.25

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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.