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Finding the Third Proportional to 147,174 and 311,880

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Solution

The third proportional to 147,174 and 311,880 is: 660,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,174 : 311,880 = 311,880 : x
  2. Step 2: Convert to fraction form
    147,174/311,880 = 311,880/x
  3. Step 3: Cross multiply
    147,174x = 311,880 × 311,880
  4. Step 4: Simplify right side
    147,174x = 97,269,134,400
  5. Step 5: Solve for x
    x = 97,269,134,400/147,174
  6. Step 6: Final answer
    x = 660,912.49

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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.