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Finding the Third Proportional to 76,144 and 117,120

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Solution

The third proportional to 76,144 and 117,120 is: 180,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,144 : 117,120 = 117,120 : x
  2. Step 2: Convert to fraction form
    76,144/117,120 = 117,120/x
  3. Step 3: Cross multiply
    76,144x = 117,120 × 117,120
  4. Step 4: Simplify right side
    76,144x = 13,717,094,400
  5. Step 5: Solve for x
    x = 13,717,094,400/76,144
  6. Step 6: Final answer
    x = 180,146.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.