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Finding the Third Proportional to 383,628 and 580,774

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Solution

The third proportional to 383,628 and 580,774 is: 879,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,628 : 580,774 = 580,774 : x
  2. Step 2: Convert to fraction form
    383,628/580,774 = 580,774/x
  3. Step 3: Cross multiply
    383,628x = 580,774 × 580,774
  4. Step 4: Simplify right side
    383,628x = 337,298,439,076
  5. Step 5: Solve for x
    x = 337,298,439,076/383,628
  6. Step 6: Final answer
    x = 879,233.11

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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.