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Finding the Third Proportional to 38,225 and 78,148

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Solution

The third proportional to 38,225 and 78,148 is: 159,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225 : 78,148 = 78,148 : x
  2. Step 2: Convert to fraction form
    38,225/78,148 = 78,148/x
  3. Step 3: Cross multiply
    38,225x = 78,148 × 78,148
  4. Step 4: Simplify right side
    38,225x = 6,107,109,904
  5. Step 5: Solve for x
    x = 6,107,109,904/38,225
  6. Step 6: Final answer
    x = 159,767.43

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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.