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Finding the Third Proportional to 518,238 and 1,115,964

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Solution

The third proportional to 518,238 and 1,115,964 is: 2,403,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,238 : 1,115,964 = 1,115,964 : x
  2. Step 2: Convert to fraction form
    518,238/1,115,964 = 1,115,964/x
  3. Step 3: Cross multiply
    518,238x = 1,115,964 × 1,115,964
  4. Step 4: Simplify right side
    518,238x = 1,245,375,649,296
  5. Step 5: Solve for x
    x = 1,245,375,649,296/518,238
  6. Step 6: Final answer
    x = 2,403,095.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.