Home / 10,397-13,489

Finding the Third Proportional to 10,397 and 13,489

Calculator

Solution

The third proportional to 10,397 and 13,489 is: 17,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397 : 13,489 = 13,489 : x
  2. Step 2: Convert to fraction form
    10,397/13,489 = 13,489/x
  3. Step 3: Cross multiply
    10,397x = 13,489 × 13,489
  4. Step 4: Simplify right side
    10,397x = 181,953,121
  5. Step 5: Solve for x
    x = 181,953,121/10,397
  6. Step 6: Final answer
    x = 17,500.54

Related Problems

Find third proportional to 5,198.50 and 6,744.50
Half scale
Find third proportional to 20,794 and 26,978
Double scale
Find third proportional to 10,399 and 13,492
Similar ratio
Find third proportional to 15,595.50 and 20,233.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.