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Finding the Third Proportional to 214,970 and 321,267

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Solution

The third proportional to 214,970 and 321,267 is: 480,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970 : 321,267 = 321,267 : x
  2. Step 2: Convert to fraction form
    214,970/321,267 = 321,267/x
  3. Step 3: Cross multiply
    214,970x = 321,267 × 321,267
  4. Step 4: Simplify right side
    214,970x = 103,212,485,289
  5. Step 5: Solve for x
    x = 103,212,485,289/214,970
  6. Step 6: Final answer
    x = 480,125.07

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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.