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Finding the Third Proportional to 79,159 and 122,414

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Solution

The third proportional to 79,159 and 122,414 is: 189,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,159 : 122,414 = 122,414 : x
  2. Step 2: Convert to fraction form
    79,159/122,414 = 122,414/x
  3. Step 3: Cross multiply
    79,159x = 122,414 × 122,414
  4. Step 4: Simplify right side
    79,159x = 14,985,187,396
  5. Step 5: Solve for x
    x = 14,985,187,396/79,159
  6. Step 6: Final answer
    x = 189,304.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.