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Finding the Third Proportional to 991,289 and 2,110,450

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Solution

The third proportional to 991,289 and 2,110,450 is: 4,493,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,289 : 2,110,450 = 2,110,450 : x
  2. Step 2: Convert to fraction form
    991,289/2,110,450 = 2,110,450/x
  3. Step 3: Cross multiply
    991,289x = 2,110,450 × 2,110,450
  4. Step 4: Simplify right side
    991,289x = 4,453,999,202,500
  5. Step 5: Solve for x
    x = 4,453,999,202,500/991,289
  6. Step 6: Final answer
    x = 4,493,138.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.