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Finding the Third Proportional to 222,719.63 and 495,122.63

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Solution

The third proportional to 222,719.63 and 495,122.63 is: 1,100,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,719.63 : 495,122.63 = 495,122.63 : x
  2. Step 2: Convert to fraction form
    222,719.63/495,122.63 = 495,122.63/x
  3. Step 3: Cross multiply
    222,719.63x = 495,122.63 × 495,122.63
  4. Step 4: Simplify right side
    222,719.63x = 245,146,413,786.89
  5. Step 5: Solve for x
    x = 245,146,413,786.89/222,719.63
  6. Step 6: Final answer
    x = 1,100,695.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.