Home / 11,565-24,909

Finding the Third Proportional to 11,565 and 24,909

Calculator

Solution

The third proportional to 11,565 and 24,909 is: 53,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 24,909 = 24,909 : x
  2. Step 2: Convert to fraction form
    11,565/24,909 = 24,909/x
  3. Step 3: Cross multiply
    11,565x = 24,909 × 24,909
  4. Step 4: Simplify right side
    11,565x = 620,458,281
  5. Step 5: Solve for x
    x = 620,458,281/11,565
  6. Step 6: Final answer
    x = 53,649.66

Related Problems

Find third proportional to 5,782.50 and 12,454.50
Half scale
Find third proportional to 23,130 and 49,818
Double scale
Find third proportional to 11,567 and 24,913
Similar ratio
Find third proportional to 17,347.50 and 37,363.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.