Home / 10,712-23,566

Finding the Third Proportional to 10,712 and 23,566

Calculator

Solution

The third proportional to 10,712 and 23,566 is: 51,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712 : 23,566 = 23,566 : x
  2. Step 2: Convert to fraction form
    10,712/23,566 = 23,566/x
  3. Step 3: Cross multiply
    10,712x = 23,566 × 23,566
  4. Step 4: Simplify right side
    10,712x = 555,356,356
  5. Step 5: Solve for x
    x = 555,356,356/10,712
  6. Step 6: Final answer
    x = 51,844.32

Related Problems

Find third proportional to 5,356 and 11,783
Half scale
Find third proportional to 21,424 and 47,132
Double scale
Find third proportional to 10,714 and 23,570
Similar ratio
Find third proportional to 16,068 and 35,349
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.