Home / 19,498-31,400

Finding the Third Proportional to 19,498 and 31,400

Calculator

Solution

The third proportional to 19,498 and 31,400 is: 50,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 31,400 = 31,400 : x
  2. Step 2: Convert to fraction form
    19,498/31,400 = 31,400/x
  3. Step 3: Cross multiply
    19,498x = 31,400 × 31,400
  4. Step 4: Simplify right side
    19,498x = 985,960,000
  5. Step 5: Solve for x
    x = 985,960,000/19,498
  6. Step 6: Final answer
    x = 50,567.24

Related Problems

Find third proportional to 9,749 and 15,700
Half scale
Find third proportional to 38,996 and 62,800
Double scale
Find third proportional to 19,500 and 31,403
Similar ratio
Find third proportional to 29,247 and 47,100
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.