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Finding the Third Proportional to 215,460 and 321,867

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Solution

The third proportional to 215,460 and 321,867 is: 480,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,460 : 321,867 = 321,867 : x
  2. Step 2: Convert to fraction form
    215,460/321,867 = 321,867/x
  3. Step 3: Cross multiply
    215,460x = 321,867 × 321,867
  4. Step 4: Simplify right side
    215,460x = 103,598,365,689
  5. Step 5: Solve for x
    x = 103,598,365,689/215,460
  6. Step 6: Final answer
    x = 480,824.12

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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.