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Finding the Third Proportional to 512,311 and 1,113,218

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Solution

The third proportional to 512,311 and 1,113,218 is: 2,418,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,311 : 1,113,218 = 1,113,218 : x
  2. Step 2: Convert to fraction form
    512,311/1,113,218 = 1,113,218/x
  3. Step 3: Cross multiply
    512,311x = 1,113,218 × 1,113,218
  4. Step 4: Simplify right side
    512,311x = 1,239,254,315,524
  5. Step 5: Solve for x
    x = 1,239,254,315,524/512,311
  6. Step 6: Final answer
    x = 2,418,949.26

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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.