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Finding the Third Proportional to 79,860 and 122,214

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Solution

The third proportional to 79,860 and 122,214 is: 187,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,860 : 122,214 = 122,214 : x
  2. Step 2: Convert to fraction form
    79,860/122,214 = 122,214/x
  3. Step 3: Cross multiply
    79,860x = 122,214 × 122,214
  4. Step 4: Simplify right side
    79,860x = 14,936,261,796
  5. Step 5: Solve for x
    x = 14,936,261,796/79,860
  6. Step 6: Final answer
    x = 187,030.58

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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.