Home / 10,822-16,312

Finding the Third Proportional to 10,822 and 16,312

Calculator

Solution

The third proportional to 10,822 and 16,312 is: 24,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822 : 16,312 = 16,312 : x
  2. Step 2: Convert to fraction form
    10,822/16,312 = 16,312/x
  3. Step 3: Cross multiply
    10,822x = 16,312 × 16,312
  4. Step 4: Simplify right side
    10,822x = 266,081,344
  5. Step 5: Solve for x
    x = 266,081,344/10,822
  6. Step 6: Final answer
    x = 24,587.08

Related Problems

Find third proportional to 5,411 and 8,156
Half scale
Find third proportional to 21,644 and 32,624
Double scale
Find third proportional to 10,824 and 16,315
Similar ratio
Find third proportional to 16,233 and 24,468
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.