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Finding the Third Proportional to 72,858 and 109,356

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Solution

The third proportional to 72,858 and 109,356 is: 164,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,858 : 109,356 = 109,356 : x
  2. Step 2: Convert to fraction form
    72,858/109,356 = 109,356/x
  3. Step 3: Cross multiply
    72,858x = 109,356 × 109,356
  4. Step 4: Simplify right side
    72,858x = 11,958,734,736
  5. Step 5: Solve for x
    x = 11,958,734,736/72,858
  6. Step 6: Final answer
    x = 164,137.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.