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Finding the Third Proportional to 215,558 and 326,319

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Solution

The third proportional to 215,558 and 326,319 is: 493,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,558 : 326,319 = 326,319 : x
  2. Step 2: Convert to fraction form
    215,558/326,319 = 326,319/x
  3. Step 3: Cross multiply
    215,558x = 326,319 × 326,319
  4. Step 4: Simplify right side
    215,558x = 106,484,089,761
  5. Step 5: Solve for x
    x = 106,484,089,761/215,558
  6. Step 6: Final answer
    x = 493,992.75

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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.