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Finding the Third Proportional to 101,543.63 and 222,773.63

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Solution

The third proportional to 101,543.63 and 222,773.63 is: 488,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,543.63 : 222,773.63 = 222,773.63 : x
  2. Step 2: Convert to fraction form
    101,543.63/222,773.63 = 222,773.63/x
  3. Step 3: Cross multiply
    101,543.63x = 222,773.63 × 222,773.63
  4. Step 4: Simplify right side
    101,543.63x = 49,628,087,995.64
  5. Step 5: Solve for x
    x = 49,628,087,995.64/101,543.63
  6. Step 6: Final answer
    x = 488,736.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.