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Finding the Third Proportional to 81,164 and 174,400

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Solution

The third proportional to 81,164 and 174,400 is: 374,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,164 : 174,400 = 174,400 : x
  2. Step 2: Convert to fraction form
    81,164/174,400 = 174,400/x
  3. Step 3: Cross multiply
    81,164x = 174,400 × 174,400
  4. Step 4: Simplify right side
    81,164x = 30,415,360,000
  5. Step 5: Solve for x
    x = 30,415,360,000/81,164
  6. Step 6: Final answer
    x = 374,739.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.