Home / 19,409-41,588

Finding the Third Proportional to 19,409 and 41,588

Calculator

Solution

The third proportional to 19,409 and 41,588 is: 89,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409 : 41,588 = 41,588 : x
  2. Step 2: Convert to fraction form
    19,409/41,588 = 41,588/x
  3. Step 3: Cross multiply
    19,409x = 41,588 × 41,588
  4. Step 4: Simplify right side
    19,409x = 1,729,561,744
  5. Step 5: Solve for x
    x = 1,729,561,744/19,409
  6. Step 6: Final answer
    x = 89,111.33

Related Problems

Find third proportional to 9,704.50 and 20,794
Half scale
Find third proportional to 38,818 and 83,176
Double scale
Find third proportional to 19,411 and 41,592
Similar ratio
Find third proportional to 29,113.50 and 62,382
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.