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Finding the Third Proportional to 512,147 and 1,121,867

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Solution

The third proportional to 512,147 and 1,121,867 is: 2,457,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,147 : 1,121,867 = 1,121,867 : x
  2. Step 2: Convert to fraction form
    512,147/1,121,867 = 1,121,867/x
  3. Step 3: Cross multiply
    512,147x = 1,121,867 × 1,121,867
  4. Step 4: Simplify right side
    512,147x = 1,258,585,565,689
  5. Step 5: Solve for x
    x = 1,258,585,565,689/512,147
  6. Step 6: Final answer
    x = 2,457,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.