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Finding the Third Proportional to 74,709 and 164,187

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Solution

The third proportional to 74,709 and 164,187 is: 360,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,709 : 164,187 = 164,187 : x
  2. Step 2: Convert to fraction form
    74,709/164,187 = 164,187/x
  3. Step 3: Cross multiply
    74,709x = 164,187 × 164,187
  4. Step 4: Simplify right side
    74,709x = 26,957,370,969
  5. Step 5: Solve for x
    x = 26,957,370,969/74,709
  6. Step 6: Final answer
    x = 360,831.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.