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Finding the Third Proportional to 327,510 and 520,785

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Solution

The third proportional to 327,510 and 520,785 is: 828,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,510 : 520,785 = 520,785 : x
  2. Step 2: Convert to fraction form
    327,510/520,785 = 520,785/x
  3. Step 3: Cross multiply
    327,510x = 520,785 × 520,785
  4. Step 4: Simplify right side
    327,510x = 271,217,016,225
  5. Step 5: Solve for x
    x = 271,217,016,225/327,510
  6. Step 6: Final answer
    x = 828,118.27

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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.