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Finding the Third Proportional to 346,512 and 518,355

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Solution

The third proportional to 346,512 and 518,355 is: 775,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,512 : 518,355 = 518,355 : x
  2. Step 2: Convert to fraction form
    346,512/518,355 = 518,355/x
  3. Step 3: Cross multiply
    346,512x = 518,355 × 518,355
  4. Step 4: Simplify right side
    346,512x = 268,691,906,025
  5. Step 5: Solve for x
    x = 268,691,906,025/346,512
  6. Step 6: Final answer
    x = 775,418.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.