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Finding the Third Proportional to 327,609 and 712,908

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Solution

The third proportional to 327,609 and 712,908 is: 1,551,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,609 : 712,908 = 712,908 : x
  2. Step 2: Convert to fraction form
    327,609/712,908 = 712,908/x
  3. Step 3: Cross multiply
    327,609x = 712,908 × 712,908
  4. Step 4: Simplify right side
    327,609x = 508,237,816,464
  5. Step 5: Solve for x
    x = 508,237,816,464/327,609
  6. Step 6: Final answer
    x = 1,551,354.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.