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Finding the Third Proportional to 73,089 and 109,338

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Solution

The third proportional to 73,089 and 109,338 is: 163,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,089 : 109,338 = 109,338 : x
  2. Step 2: Convert to fraction form
    73,089/109,338 = 109,338/x
  3. Step 3: Cross multiply
    73,089x = 109,338 × 109,338
  4. Step 4: Simplify right side
    73,089x = 11,954,798,244
  5. Step 5: Solve for x
    x = 11,954,798,244/73,089
  6. Step 6: Final answer
    x = 163,564.94

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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.