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Finding the Third Proportional to 180,168 and 391,100

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Solution

The third proportional to 180,168 and 391,100 is: 848,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168 : 391,100 = 391,100 : x
  2. Step 2: Convert to fraction form
    180,168/391,100 = 391,100/x
  3. Step 3: Cross multiply
    180,168x = 391,100 × 391,100
  4. Step 4: Simplify right side
    180,168x = 152,959,210,000
  5. Step 5: Solve for x
    x = 152,959,210,000/180,168
  6. Step 6: Final answer
    x = 848,981.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.