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Finding the Third Proportional to 214,606 and 320,775

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Solution

The third proportional to 214,606 and 320,775 is: 479,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,606 : 320,775 = 320,775 : x
  2. Step 2: Convert to fraction form
    214,606/320,775 = 320,775/x
  3. Step 3: Cross multiply
    214,606x = 320,775 × 320,775
  4. Step 4: Simplify right side
    214,606x = 102,896,600,625
  5. Step 5: Solve for x
    x = 102,896,600,625/214,606
  6. Step 6: Final answer
    x = 479,467.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.