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Finding the Third Proportional to 224,448 and 483,880

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Solution

The third proportional to 224,448 and 483,880 is: 1,043,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,448 : 483,880 = 483,880 : x
  2. Step 2: Convert to fraction form
    224,448/483,880 = 483,880/x
  3. Step 3: Cross multiply
    224,448x = 483,880 × 483,880
  4. Step 4: Simplify right side
    224,448x = 234,139,854,400
  5. Step 5: Solve for x
    x = 234,139,854,400/224,448
  6. Step 6: Final answer
    x = 1,043,180.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.