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Finding the Third Proportional to 383,640 and 580,791

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Solution

The third proportional to 383,640 and 580,791 is: 879,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,640 : 580,791 = 580,791 : x
  2. Step 2: Convert to fraction form
    383,640/580,791 = 580,791/x
  3. Step 3: Cross multiply
    383,640x = 580,791 × 580,791
  4. Step 4: Simplify right side
    383,640x = 337,318,185,681
  5. Step 5: Solve for x
    x = 337,318,185,681/383,640
  6. Step 6: Final answer
    x = 879,257.08

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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.