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Finding the Third Proportional to 215,560 and 326,322

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Solution

The third proportional to 215,560 and 326,322 is: 493,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,560 : 326,322 = 326,322 : x
  2. Step 2: Convert to fraction form
    215,560/326,322 = 326,322/x
  3. Step 3: Cross multiply
    215,560x = 326,322 × 326,322
  4. Step 4: Simplify right side
    215,560x = 106,486,047,684
  5. Step 5: Solve for x
    x = 106,486,047,684/215,560
  6. Step 6: Final answer
    x = 493,997.25

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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.