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Finding the Third Proportional to 311,174 and 678,660

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Solution

The third proportional to 311,174 and 678,660 is: 1,480,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,174 : 678,660 = 678,660 : x
  2. Step 2: Convert to fraction form
    311,174/678,660 = 678,660/x
  3. Step 3: Cross multiply
    311,174x = 678,660 × 678,660
  4. Step 4: Simplify right side
    311,174x = 460,579,395,600
  5. Step 5: Solve for x
    x = 460,579,395,600/311,174
  6. Step 6: Final answer
    x = 1,480,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.