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Finding the Third Proportional to 171,138 and 412,290

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Solution

The third proportional to 171,138 and 412,290 is: 993,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,138 : 412,290 = 412,290 : x
  2. Step 2: Convert to fraction form
    171,138/412,290 = 412,290/x
  3. Step 3: Cross multiply
    171,138x = 412,290 × 412,290
  4. Step 4: Simplify right side
    171,138x = 169,983,044,100
  5. Step 5: Solve for x
    x = 169,983,044,100/171,138
  6. Step 6: Final answer
    x = 993,251.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.