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Finding the Third Proportional to 312,224 and 671,809

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Solution

The third proportional to 312,224 and 671,809 is: 1,445,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,224 : 671,809 = 671,809 : x
  2. Step 2: Convert to fraction form
    312,224/671,809 = 671,809/x
  3. Step 3: Cross multiply
    312,224x = 671,809 × 671,809
  4. Step 4: Simplify right side
    312,224x = 451,327,332,481
  5. Step 5: Solve for x
    x = 451,327,332,481/312,224
  6. Step 6: Final answer
    x = 1,445,524.15

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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.