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Finding the Third Proportional to 383,728 and 580,944

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Solution

The third proportional to 383,728 and 580,944 is: 879,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,728 : 580,944 = 580,944 : x
  2. Step 2: Convert to fraction form
    383,728/580,944 = 580,944/x
  3. Step 3: Cross multiply
    383,728x = 580,944 × 580,944
  4. Step 4: Simplify right side
    383,728x = 337,495,931,136
  5. Step 5: Solve for x
    x = 337,495,931,136/383,728
  6. Step 6: Final answer
    x = 879,518.65

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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.