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Finding the Third Proportional to 106,558 and 142,158

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Solution

The third proportional to 106,558 and 142,158 is: 189,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558 : 142,158 = 142,158 : x
  2. Step 2: Convert to fraction form
    106,558/142,158 = 142,158/x
  3. Step 3: Cross multiply
    106,558x = 142,158 × 142,158
  4. Step 4: Simplify right side
    106,558x = 20,208,896,964
  5. Step 5: Solve for x
    x = 20,208,896,964/106,558
  6. Step 6: Final answer
    x = 189,651.62

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.