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Finding the Third Proportional to 38,900 and 79,228

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Solution

The third proportional to 38,900 and 79,228 is: 161,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 79,228 = 79,228 : x
  2. Step 2: Convert to fraction form
    38,900/79,228 = 79,228/x
  3. Step 3: Cross multiply
    38,900x = 79,228 × 79,228
  4. Step 4: Simplify right side
    38,900x = 6,277,075,984
  5. Step 5: Solve for x
    x = 6,277,075,984/38,900
  6. Step 6: Final answer
    x = 161,364.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.