Home / 10,400-15,710

Finding the Third Proportional to 10,400 and 15,710

Calculator

Solution

The third proportional to 10,400 and 15,710 is: 23,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 15,710 = 15,710 : x
  2. Step 2: Convert to fraction form
    10,400/15,710 = 15,710/x
  3. Step 3: Cross multiply
    10,400x = 15,710 × 15,710
  4. Step 4: Simplify right side
    10,400x = 246,804,100
  5. Step 5: Solve for x
    x = 246,804,100/10,400
  6. Step 6: Final answer
    x = 23,731.16

Related Problems

Find third proportional to 5,200 and 7,855
Half scale
Find third proportional to 20,800 and 31,420
Double scale
Find third proportional to 10,402 and 15,713
Similar ratio
Find third proportional to 15,600 and 23,565
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.