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Finding the Third Proportional to 79,726 and 122,146

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Solution

The third proportional to 79,726 and 122,146 is: 187,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,726 : 122,146 = 122,146 : x
  2. Step 2: Convert to fraction form
    79,726/122,146 = 122,146/x
  3. Step 3: Cross multiply
    79,726x = 122,146 × 122,146
  4. Step 4: Simplify right side
    79,726x = 14,919,645,316
  5. Step 5: Solve for x
    x = 14,919,645,316/79,726
  6. Step 6: Final answer
    x = 187,136.51

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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.