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Finding the Third Proportional to 212,760 and 460,980

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Solution

The third proportional to 212,760 and 460,980 is: 998,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,760 : 460,980 = 460,980 : x
  2. Step 2: Convert to fraction form
    212,760/460,980 = 460,980/x
  3. Step 3: Cross multiply
    212,760x = 460,980 × 460,980
  4. Step 4: Simplify right side
    212,760x = 212,502,560,400
  5. Step 5: Solve for x
    x = 212,502,560,400/212,760
  6. Step 6: Final answer
    x = 998,790

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.