Home / 12,969-21,307

Finding the Third Proportional to 12,969 and 21,307

Calculator

Solution

The third proportional to 12,969 and 21,307 is: 35,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 21,307 = 21,307 : x
  2. Step 2: Convert to fraction form
    12,969/21,307 = 21,307/x
  3. Step 3: Cross multiply
    12,969x = 21,307 × 21,307
  4. Step 4: Simplify right side
    12,969x = 453,988,249
  5. Step 5: Solve for x
    x = 453,988,249/12,969
  6. Step 6: Final answer
    x = 35,005.65

Related Problems

Find third proportional to 6,484.50 and 10,653.50
Half scale
Find third proportional to 25,938 and 42,614
Double scale
Find third proportional to 12,971 and 21,310
Similar ratio
Find third proportional to 19,453.50 and 31,960.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.