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Finding the Third Proportional to 549,783 and 1,211,399

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Solution

The third proportional to 549,783 and 1,211,399 is: 2,669,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,783 : 1,211,399 = 1,211,399 : x
  2. Step 2: Convert to fraction form
    549,783/1,211,399 = 1,211,399/x
  3. Step 3: Cross multiply
    549,783x = 1,211,399 × 1,211,399
  4. Step 4: Simplify right side
    549,783x = 1,467,487,537,201
  5. Step 5: Solve for x
    x = 1,467,487,537,201/549,783
  6. Step 6: Final answer
    x = 2,669,212.28

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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.