Home / 15,712-21,978

Finding the Third Proportional to 15,712 and 21,978

Calculator

Solution

The third proportional to 15,712 and 21,978 is: 30,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712 : 21,978 = 21,978 : x
  2. Step 2: Convert to fraction form
    15,712/21,978 = 21,978/x
  3. Step 3: Cross multiply
    15,712x = 21,978 × 21,978
  4. Step 4: Simplify right side
    15,712x = 483,032,484
  5. Step 5: Solve for x
    x = 483,032,484/15,712
  6. Step 6: Final answer
    x = 30,742.90

Related Problems

Find third proportional to 7,856 and 10,989
Half scale
Find third proportional to 31,424 and 43,956
Double scale
Find third proportional to 15,714 and 21,981
Similar ratio
Find third proportional to 23,568 and 32,967
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.