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Finding the Third Proportional to 327,227,586 and 520,935,489

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Solution

The third proportional to 327,227,586 and 520,935,489 is: 829,312,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,227,586 : 520,935,489 = 520,935,489 : x
  2. Step 2: Convert to fraction form
    327,227,586/520,935,489 = 520,935,489/x
  3. Step 3: Cross multiply
    327,227,586x = 520,935,489 × 520,935,489
  4. Step 4: Simplify right side
    327,227,586x = 271,373,783,699,669,120
  5. Step 5: Solve for x
    x = 271,373,783,699,669,120/327,227,586
  6. Step 6: Final answer
    x = 829,312,060.81

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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.