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Finding the Third Proportional to 311,910 and 675,660

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Solution

The third proportional to 311,910 and 675,660 is: 1,463,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,910 : 675,660 = 675,660 : x
  2. Step 2: Convert to fraction form
    311,910/675,660 = 675,660/x
  3. Step 3: Cross multiply
    311,910x = 675,660 × 675,660
  4. Step 4: Simplify right side
    311,910x = 456,516,435,600
  5. Step 5: Solve for x
    x = 456,516,435,600/311,910
  6. Step 6: Final answer
    x = 1,463,615.90

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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.