Home / 1,738-4,109

Finding the Third Proportional to 1,738 and 4,109

Calculator

Solution

The third proportional to 1,738 and 4,109 is: 9,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738 : 4,109 = 4,109 : x
  2. Step 2: Convert to fraction form
    1,738/4,109 = 4,109/x
  3. Step 3: Cross multiply
    1,738x = 4,109 × 4,109
  4. Step 4: Simplify right side
    1,738x = 16,883,881
  5. Step 5: Solve for x
    x = 16,883,881/1,738
  6. Step 6: Final answer
    x = 9,714.55

Related Problems

Find third proportional to 869 and 2,054.50
Half scale
Find third proportional to 3,476 and 8,218
Double scale
Find third proportional to 1,740 and 4,114
Similar ratio
Find third proportional to 2,607 and 6,163.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.