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Finding the Third Proportional to 30,678 and 43,191

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Solution

The third proportional to 30,678 and 43,191 is: 60,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 43,191 = 43,191 : x
  2. Step 2: Convert to fraction form
    30,678/43,191 = 43,191/x
  3. Step 3: Cross multiply
    30,678x = 43,191 × 43,191
  4. Step 4: Simplify right side
    30,678x = 1,865,462,481
  5. Step 5: Solve for x
    x = 1,865,462,481/30,678
  6. Step 6: Final answer
    x = 60,807.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.