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Finding the Third Proportional to 331,844 and 510,357

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Solution

The third proportional to 331,844 and 510,357 is: 784,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,844 : 510,357 = 510,357 : x
  2. Step 2: Convert to fraction form
    331,844/510,357 = 510,357/x
  3. Step 3: Cross multiply
    331,844x = 510,357 × 510,357
  4. Step 4: Simplify right side
    331,844x = 260,464,267,449
  5. Step 5: Solve for x
    x = 260,464,267,449/331,844
  6. Step 6: Final answer
    x = 784,899.73

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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.