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Finding the Third Proportional to 331,854 and 510,372

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Solution

The third proportional to 331,854 and 510,372 is: 784,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,854 : 510,372 = 510,372 : x
  2. Step 2: Convert to fraction form
    331,854/510,372 = 510,372/x
  3. Step 3: Cross multiply
    331,854x = 510,372 × 510,372
  4. Step 4: Simplify right side
    331,854x = 260,479,578,384
  5. Step 5: Solve for x
    x = 260,479,578,384/331,854
  6. Step 6: Final answer
    x = 784,922.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.