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Finding the Third Proportional to 215,140 and 324,438

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Solution

The third proportional to 215,140 and 324,438 is: 489,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,140 : 324,438 = 324,438 : x
  2. Step 2: Convert to fraction form
    215,140/324,438 = 324,438/x
  3. Step 3: Cross multiply
    215,140x = 324,438 × 324,438
  4. Step 4: Simplify right side
    215,140x = 105,260,015,844
  5. Step 5: Solve for x
    x = 105,260,015,844/215,140
  6. Step 6: Final answer
    x = 489,262.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.