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Finding the Third Proportional to 331,938 and 518,642

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Solution

The third proportional to 331,938 and 518,642 is: 810,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,938 : 518,642 = 518,642 : x
  2. Step 2: Convert to fraction form
    331,938/518,642 = 518,642/x
  3. Step 3: Cross multiply
    331,938x = 518,642 × 518,642
  4. Step 4: Simplify right side
    331,938x = 268,989,524,164
  5. Step 5: Solve for x
    x = 268,989,524,164/331,938
  6. Step 6: Final answer
    x = 810,360.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.