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Finding the Third Proportional to 147,168 and 311,866

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Solution

The third proportional to 147,168 and 311,866 is: 660,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,168 : 311,866 = 311,866 : x
  2. Step 2: Convert to fraction form
    147,168/311,866 = 311,866/x
  3. Step 3: Cross multiply
    147,168x = 311,866 × 311,866
  4. Step 4: Simplify right side
    147,168x = 97,260,401,956
  5. Step 5: Solve for x
    x = 97,260,401,956/147,168
  6. Step 6: Final answer
    x = 660,880.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.