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Finding the Third Proportional to 326,734 and 520,245

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Solution

The third proportional to 326,734 and 520,245 is: 828,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,734 : 520,245 = 520,245 : x
  2. Step 2: Convert to fraction form
    326,734/520,245 = 520,245/x
  3. Step 3: Cross multiply
    326,734x = 520,245 × 520,245
  4. Step 4: Simplify right side
    326,734x = 270,654,860,025
  5. Step 5: Solve for x
    x = 270,654,860,025/326,734
  6. Step 6: Final answer
    x = 828,364.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.