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Finding the Third Proportional to 549,781 and 1,211,395

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Solution

The third proportional to 549,781 and 1,211,395 is: 2,669,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,781 : 1,211,395 = 1,211,395 : x
  2. Step 2: Convert to fraction form
    549,781/1,211,395 = 1,211,395/x
  3. Step 3: Cross multiply
    549,781x = 1,211,395 × 1,211,395
  4. Step 4: Simplify right side
    549,781x = 1,467,477,846,025
  5. Step 5: Solve for x
    x = 1,467,477,846,025/549,781
  6. Step 6: Final answer
    x = 2,669,204.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.