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Finding the Third Proportional to 212,846 and 458,911

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Solution

The third proportional to 212,846 and 458,911 is: 989,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,846 : 458,911 = 458,911 : x
  2. Step 2: Convert to fraction form
    212,846/458,911 = 458,911/x
  3. Step 3: Cross multiply
    212,846x = 458,911 × 458,911
  4. Step 4: Simplify right side
    212,846x = 210,599,305,921
  5. Step 5: Solve for x
    x = 210,599,305,921/212,846
  6. Step 6: Final answer
    x = 989,444.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.