Home / 15,439-31,970

Finding the Third Proportional to 15,439 and 31,970

Calculator

Solution

The third proportional to 15,439 and 31,970 is: 66,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,439 : 31,970 = 31,970 : x
  2. Step 2: Convert to fraction form
    15,439/31,970 = 31,970/x
  3. Step 3: Cross multiply
    15,439x = 31,970 × 31,970
  4. Step 4: Simplify right side
    15,439x = 1,022,080,900
  5. Step 5: Solve for x
    x = 1,022,080,900/15,439
  6. Step 6: Final answer
    x = 66,201.24

Related Problems

Find third proportional to 7,719.50 and 15,985
Half scale
Find third proportional to 30,878 and 63,940
Double scale
Find third proportional to 15,441 and 31,974
Similar ratio
Find third proportional to 23,158.50 and 47,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.