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Finding the Third Proportional to 259,826 and 380,523

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Solution

The third proportional to 259,826 and 380,523 is: 557,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,826 : 380,523 = 380,523 : x
  2. Step 2: Convert to fraction form
    259,826/380,523 = 380,523/x
  3. Step 3: Cross multiply
    259,826x = 380,523 × 380,523
  4. Step 4: Simplify right side
    259,826x = 144,797,753,529
  5. Step 5: Solve for x
    x = 144,797,753,529/259,826
  6. Step 6: Final answer
    x = 557,287.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.