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Finding the Third Proportional to 513,513 and 1,108,218

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Solution

The third proportional to 513,513 and 1,108,218 is: 2,391,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,513 : 1,108,218 = 1,108,218 : x
  2. Step 2: Convert to fraction form
    513,513/1,108,218 = 1,108,218/x
  3. Step 3: Cross multiply
    513,513x = 1,108,218 × 1,108,218
  4. Step 4: Simplify right side
    513,513x = 1,228,147,135,524
  5. Step 5: Solve for x
    x = 1,228,147,135,524/513,513
  6. Step 6: Final answer
    x = 2,391,657.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.