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Finding the Third Proportional to 331,429.50 and 518,463

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Solution

The third proportional to 331,429.50 and 518,463 is: 811,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,429.50 : 518,463 = 518,463 : x
  2. Step 2: Convert to fraction form
    331,429.50/518,463 = 518,463/x
  3. Step 3: Cross multiply
    331,429.50x = 518,463 × 518,463
  4. Step 4: Simplify right side
    331,429.50x = 268,803,882,369
  5. Step 5: Solve for x
    x = 268,803,882,369/331,429.50
  6. Step 6: Final answer
    x = 811,043.92

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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.