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Finding the Third Proportional to 76,678 and 117,444

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Solution

The third proportional to 76,678 and 117,444 is: 179,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678 : 117,444 = 117,444 : x
  2. Step 2: Convert to fraction form
    76,678/117,444 = 117,444/x
  3. Step 3: Cross multiply
    76,678x = 117,444 × 117,444
  4. Step 4: Simplify right side
    76,678x = 13,793,093,136
  5. Step 5: Solve for x
    x = 13,793,093,136/76,678
  6. Step 6: Final answer
    x = 179,883.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.