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Finding the Third Proportional to 214,542 and 320,679

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Solution

The third proportional to 214,542 and 320,679 is: 479,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,542 : 320,679 = 320,679 : x
  2. Step 2: Convert to fraction form
    214,542/320,679 = 320,679/x
  3. Step 3: Cross multiply
    214,542x = 320,679 × 320,679
  4. Step 4: Simplify right side
    214,542x = 102,835,021,041
  5. Step 5: Solve for x
    x = 102,835,021,041/214,542
  6. Step 6: Final answer
    x = 479,323.49

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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.