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Finding the Third Proportional to 356,427 and 518,589

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Solution

The third proportional to 356,427 and 518,589 is: 754,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,427 : 518,589 = 518,589 : x
  2. Step 2: Convert to fraction form
    356,427/518,589 = 518,589/x
  3. Step 3: Cross multiply
    356,427x = 518,589 × 518,589
  4. Step 4: Simplify right side
    356,427x = 268,934,550,921
  5. Step 5: Solve for x
    x = 268,934,550,921/356,427
  6. Step 6: Final answer
    x = 754,529.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.