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Finding the Third Proportional to 214,083 and 320,517

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Solution

The third proportional to 214,083 and 320,517 is: 479,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083 : 320,517 = 320,517 : x
  2. Step 2: Convert to fraction form
    214,083/320,517 = 320,517/x
  3. Step 3: Cross multiply
    214,083x = 320,517 × 320,517
  4. Step 4: Simplify right side
    214,083x = 102,731,147,289
  5. Step 5: Solve for x
    x = 102,731,147,289/214,083
  6. Step 6: Final answer
    x = 479,865.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.