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Finding the Third Proportional to 331,419 and 518,454

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Solution

The third proportional to 331,419 and 518,454 is: 811,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,419 : 518,454 = 518,454 : x
  2. Step 2: Convert to fraction form
    331,419/518,454 = 518,454/x
  3. Step 3: Cross multiply
    331,419x = 518,454 × 518,454
  4. Step 4: Simplify right side
    331,419x = 268,794,550,116
  5. Step 5: Solve for x
    x = 268,794,550,116/331,419
  6. Step 6: Final answer
    x = 811,041.46

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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.