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Finding the Third Proportional to 142,489.38 and 222,360.63

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Solution

The third proportional to 142,489.38 and 222,360.63 is: 347,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,489.38 : 222,360.63 = 222,360.63 : x
  2. Step 2: Convert to fraction form
    142,489.38/222,360.63 = 222,360.63/x
  3. Step 3: Cross multiply
    142,489.38x = 222,360.63 × 222,360.63
  4. Step 4: Simplify right side
    142,489.38x = 49,444,247,550.39
  5. Step 5: Solve for x
    x = 49,444,247,550.39/142,489.38
  6. Step 6: Final answer
    x = 347,003.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.