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Finding the Third Proportional to 107,940 and 142,773

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Solution

The third proportional to 107,940 and 142,773 is: 188,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,940 : 142,773 = 142,773 : x
  2. Step 2: Convert to fraction form
    107,940/142,773 = 142,773/x
  3. Step 3: Cross multiply
    107,940x = 142,773 × 142,773
  4. Step 4: Simplify right side
    107,940x = 20,384,129,529
  5. Step 5: Solve for x
    x = 20,384,129,529/107,940
  6. Step 6: Final answer
    x = 188,846.86

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.