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Finding the Third Proportional to 383,346 and 580,392

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Solution

The third proportional to 383,346 and 580,392 is: 878,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,346 : 580,392 = 580,392 : x
  2. Step 2: Convert to fraction form
    383,346/580,392 = 580,392/x
  3. Step 3: Cross multiply
    383,346x = 580,392 × 580,392
  4. Step 4: Simplify right side
    383,346x = 336,854,873,664
  5. Step 5: Solve for x
    x = 336,854,873,664/383,346
  6. Step 6: Final answer
    x = 878,722.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.