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Finding the Third Proportional to 326,738 and 520,251

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Solution

The third proportional to 326,738 and 520,251 is: 828,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,738 : 520,251 = 520,251 : x
  2. Step 2: Convert to fraction form
    326,738/520,251 = 520,251/x
  3. Step 3: Cross multiply
    326,738x = 520,251 × 520,251
  4. Step 4: Simplify right side
    326,738x = 270,661,103,001
  5. Step 5: Solve for x
    x = 270,661,103,001/326,738
  6. Step 6: Final answer
    x = 828,373.51

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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.