Home / 9,512-20,297

Finding the Third Proportional to 9,512 and 20,297

Calculator

Solution

The third proportional to 9,512 and 20,297 is: 43,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512 : 20,297 = 20,297 : x
  2. Step 2: Convert to fraction form
    9,512/20,297 = 20,297/x
  3. Step 3: Cross multiply
    9,512x = 20,297 × 20,297
  4. Step 4: Simplify right side
    9,512x = 411,968,209
  5. Step 5: Solve for x
    x = 411,968,209/9,512
  6. Step 6: Final answer
    x = 43,310.37

Related Problems

Find third proportional to 4,756 and 10,148.50
Half scale
Find third proportional to 19,024 and 40,594
Double scale
Find third proportional to 9,514 and 20,301
Similar ratio
Find third proportional to 14,268 and 30,445.50
1.5x scale

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.