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Finding the Third Proportional to 224,334.56 and 483,888.94

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Solution

The third proportional to 224,334.56 and 483,888.94 is: 1,043,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,334.56 : 483,888.94 = 483,888.94 : x
  2. Step 2: Convert to fraction form
    224,334.56/483,888.94 = 483,888.94/x
  3. Step 3: Cross multiply
    224,334.56x = 483,888.94 × 483,888.94
  4. Step 4: Simplify right side
    224,334.56x = 234,148,503,834.88
  5. Step 5: Solve for x
    x = 234,148,503,834.88/224,334.56
  6. Step 6: Final answer
    x = 1,043,746.90

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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.