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Finding the Third Proportional to 327,414 and 687,852

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Solution

The third proportional to 327,414 and 687,852 is: 1,445,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414 : 687,852 = 687,852 : x
  2. Step 2: Convert to fraction form
    327,414/687,852 = 687,852/x
  3. Step 3: Cross multiply
    327,414x = 687,852 × 687,852
  4. Step 4: Simplify right side
    327,414x = 473,140,373,904
  5. Step 5: Solve for x
    x = 473,140,373,904/327,414
  6. Step 6: Final answer
    x = 1,445,082.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.