Home / 13,064-19,565

Finding the Third Proportional to 13,064 and 19,565

Calculator

Solution

The third proportional to 13,064 and 19,565 is: 29,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064 : 19,565 = 19,565 : x
  2. Step 2: Convert to fraction form
    13,064/19,565 = 19,565/x
  3. Step 3: Cross multiply
    13,064x = 19,565 × 19,565
  4. Step 4: Simplify right side
    13,064x = 382,789,225
  5. Step 5: Solve for x
    x = 382,789,225/13,064
  6. Step 6: Final answer
    x = 29,301.07

Related Problems

Find third proportional to 6,532 and 9,782.50
Half scale
Find third proportional to 26,128 and 39,130
Double scale
Find third proportional to 13,066 and 19,568
Similar ratio
Find third proportional to 19,596 and 29,347.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.