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Finding the Third Proportional to 212,976 and 458,756

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Solution

The third proportional to 212,976 and 458,756 is: 988,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,976 : 458,756 = 458,756 : x
  2. Step 2: Convert to fraction form
    212,976/458,756 = 458,756/x
  3. Step 3: Cross multiply
    212,976x = 458,756 × 458,756
  4. Step 4: Simplify right side
    212,976x = 210,457,067,536
  5. Step 5: Solve for x
    x = 210,457,067,536/212,976
  6. Step 6: Final answer
    x = 988,172.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.