Home / 13,688-20,594

Finding the Third Proportional to 13,688 and 20,594

Calculator

Solution

The third proportional to 13,688 and 20,594 is: 30,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688 : 20,594 = 20,594 : x
  2. Step 2: Convert to fraction form
    13,688/20,594 = 20,594/x
  3. Step 3: Cross multiply
    13,688x = 20,594 × 20,594
  4. Step 4: Simplify right side
    13,688x = 424,112,836
  5. Step 5: Solve for x
    x = 424,112,836/13,688
  6. Step 6: Final answer
    x = 30,984.28

Related Problems

Find third proportional to 6,844 and 10,297
Half scale
Find third proportional to 27,376 and 41,188
Double scale
Find third proportional to 13,690 and 20,597
Similar ratio
Find third proportional to 20,532 and 30,891
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.