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Finding the Third Proportional to 383,639 and 580,789

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Solution

The third proportional to 383,639 and 580,789 is: 879,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,639 : 580,789 = 580,789 : x
  2. Step 2: Convert to fraction form
    383,639/580,789 = 580,789/x
  3. Step 3: Cross multiply
    383,639x = 580,789 × 580,789
  4. Step 4: Simplify right side
    383,639x = 337,315,862,521
  5. Step 5: Solve for x
    x = 337,315,862,521/383,639
  6. Step 6: Final answer
    x = 879,253.32

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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.