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Finding the Third Proportional to 100,328.63 and 222,800.63

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Solution

The third proportional to 100,328.63 and 222,800.63 is: 494,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,328.63 : 222,800.63 = 222,800.63 : x
  2. Step 2: Convert to fraction form
    100,328.63/222,800.63 = 222,800.63/x
  3. Step 3: Cross multiply
    100,328.63x = 222,800.63 × 222,800.63
  4. Step 4: Simplify right side
    100,328.63x = 49,640,118,500.39
  5. Step 5: Solve for x
    x = 49,640,118,500.39/100,328.63
  6. Step 6: Final answer
    x = 494,775.23

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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.