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Finding the Third Proportional to 79,069 and 122,297

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Solution

The third proportional to 79,069 and 122,297 is: 189,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,069 : 122,297 = 122,297 : x
  2. Step 2: Convert to fraction form
    79,069/122,297 = 122,297/x
  3. Step 3: Cross multiply
    79,069x = 122,297 × 122,297
  4. Step 4: Simplify right side
    79,069x = 14,956,556,209
  5. Step 5: Solve for x
    x = 14,956,556,209/79,069
  6. Step 6: Final answer
    x = 189,158.28

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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.