Home / 13,740-19,464

Finding the Third Proportional to 13,740 and 19,464

Calculator

Solution

The third proportional to 13,740 and 19,464 is: 27,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 19,464 = 19,464 : x
  2. Step 2: Convert to fraction form
    13,740/19,464 = 19,464/x
  3. Step 3: Cross multiply
    13,740x = 19,464 × 19,464
  4. Step 4: Simplify right side
    13,740x = 378,847,296
  5. Step 5: Solve for x
    x = 378,847,296/13,740
  6. Step 6: Final answer
    x = 27,572.58

Related Problems

Find third proportional to 6,870 and 9,732
Half scale
Find third proportional to 27,480 and 38,928
Double scale
Find third proportional to 13,742 and 19,467
Similar ratio
Find third proportional to 20,610 and 29,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.