Home / 86,969-138,344

Finding the Third Proportional to 86,969 and 138,344

Calculator

Solution

The third proportional to 86,969 and 138,344 is: 220,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,969 : 138,344 = 138,344 : x
  2. Step 2: Convert to fraction form
    86,969/138,344 = 138,344/x
  3. Step 3: Cross multiply
    86,969x = 138,344 × 138,344
  4. Step 4: Simplify right side
    86,969x = 19,139,062,336
  5. Step 5: Solve for x
    x = 19,139,062,336/86,969
  6. Step 6: Final answer
    x = 220,067.64

Related Problems

Find third proportional to 43,484.50 and 69,172
Half scale
Find third proportional to 173,938 and 276,688
Double scale
Find third proportional to 86,971 and 138,347
Similar ratio
Find third proportional to 130,453.50 and 207,516
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.