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Finding the Third Proportional to 142,719 and 222,247.50

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Solution

The third proportional to 142,719 and 222,247.50 is: 346,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,719 : 222,247.50 = 222,247.50 : x
  2. Step 2: Convert to fraction form
    142,719/222,247.50 = 222,247.50/x
  3. Step 3: Cross multiply
    142,719x = 222,247.50 × 222,247.50
  4. Step 4: Simplify right side
    142,719x = 49,393,951,256.25
  5. Step 5: Solve for x
    x = 49,393,951,256.25/142,719
  6. Step 6: Final answer
    x = 346,092.33

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