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Finding the Third Proportional to 224,177.63 and 333,090.56

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Solution

The third proportional to 224,177.63 and 333,090.56 is: 494,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,177.63 : 333,090.56 = 333,090.56 : x
  2. Step 2: Convert to fraction form
    224,177.63/333,090.56 = 333,090.56/x
  3. Step 3: Cross multiply
    224,177.63x = 333,090.56 × 333,090.56
  4. Step 4: Simplify right side
    224,177.63x = 110,949,322,826.57
  5. Step 5: Solve for x
    x = 110,949,322,826.57/224,177.63
  6. Step 6: Final answer
    x = 494,917.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.