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Finding the Third Proportional to 180,720 and 383,456

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Solution

The third proportional to 180,720 and 383,456 is: 813,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,720 : 383,456 = 383,456 : x
  2. Step 2: Convert to fraction form
    180,720/383,456 = 383,456/x
  3. Step 3: Cross multiply
    180,720x = 383,456 × 383,456
  4. Step 4: Simplify right side
    180,720x = 147,038,503,936
  5. Step 5: Solve for x
    x = 147,038,503,936/180,720
  6. Step 6: Final answer
    x = 813,626.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.