Home / 9,744-11,850

Finding the Third Proportional to 9,744 and 11,850

Calculator

Solution

The third proportional to 9,744 and 11,850 is: 14,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 11,850 = 11,850 : x
  2. Step 2: Convert to fraction form
    9,744/11,850 = 11,850/x
  3. Step 3: Cross multiply
    9,744x = 11,850 × 11,850
  4. Step 4: Simplify right side
    9,744x = 140,422,500
  5. Step 5: Solve for x
    x = 140,422,500/9,744
  6. Step 6: Final answer
    x = 14,411.18

Related Problems

Find third proportional to 4,872 and 5,925
Half scale
Find third proportional to 19,488 and 23,700
Double scale
Find third proportional to 9,746 and 11,852
Similar ratio
Find third proportional to 14,616 and 17,775
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.