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Finding the Third Proportional to 327,638 and 719,518

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Solution

The third proportional to 327,638 and 719,518 is: 1,580,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,638 : 719,518 = 719,518 : x
  2. Step 2: Convert to fraction form
    327,638/719,518 = 719,518/x
  3. Step 3: Cross multiply
    327,638x = 719,518 × 719,518
  4. Step 4: Simplify right side
    327,638x = 517,706,152,324
  5. Step 5: Solve for x
    x = 517,706,152,324/327,638
  6. Step 6: Final answer
    x = 1,580,116.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.