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Finding the Third Proportional to 79,265 and 122,921

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Solution

The third proportional to 79,265 and 122,921 is: 190,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,265 : 122,921 = 122,921 : x
  2. Step 2: Convert to fraction form
    79,265/122,921 = 122,921/x
  3. Step 3: Cross multiply
    79,265x = 122,921 × 122,921
  4. Step 4: Simplify right side
    79,265x = 15,109,572,241
  5. Step 5: Solve for x
    x = 15,109,572,241/79,265
  6. Step 6: Final answer
    x = 190,620.98

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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.