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Finding the Third Proportional to 212,853 and 454,626

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Solution

The third proportional to 212,853 and 454,626 is: 971,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,853 : 454,626 = 454,626 : x
  2. Step 2: Convert to fraction form
    212,853/454,626 = 454,626/x
  3. Step 3: Cross multiply
    212,853x = 454,626 × 454,626
  4. Step 4: Simplify right side
    212,853x = 206,684,799,876
  5. Step 5: Solve for x
    x = 206,684,799,876/212,853
  6. Step 6: Final answer
    x = 971,021.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.