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Finding the Third Proportional to 383,215 and 580,124

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Solution

The third proportional to 383,215 and 580,124 is: 878,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,215 : 580,124 = 580,124 : x
  2. Step 2: Convert to fraction form
    383,215/580,124 = 580,124/x
  3. Step 3: Cross multiply
    383,215x = 580,124 × 580,124
  4. Step 4: Simplify right side
    383,215x = 336,543,855,376
  5. Step 5: Solve for x
    x = 336,543,855,376/383,215
  6. Step 6: Final answer
    x = 878,211.59

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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.