Home / 10.13-24.05

Finding the Third Proportional to 10.13 and 24.05

Calculator

Solution

The third proportional to 10.13 and 24.05 is: 57.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 24.05 = 24.05 : x
  2. Step 2: Convert to fraction form
    10.13/24.05 = 24.05/x
  3. Step 3: Cross multiply
    10.13x = 24.05 × 24.05
  4. Step 4: Simplify right side
    10.13x = 578.25
  5. Step 5: Solve for x
    x = 578.25/10.13
  6. Step 6: Final answer
    x = 57.11

Related Problems

Find third proportional to 5.06 and 12.02
Half scale
Find third proportional to 20.25 and 48.09
Double scale
Find third proportional to 12 and 29
Similar ratio
Find third proportional to 15.19 and 36.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.