Home / 12,416-19,784

Finding the Third Proportional to 12,416 and 19,784

Calculator

Solution

The third proportional to 12,416 and 19,784 is: 31,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 19,784 = 19,784 : x
  2. Step 2: Convert to fraction form
    12,416/19,784 = 19,784/x
  3. Step 3: Cross multiply
    12,416x = 19,784 × 19,784
  4. Step 4: Simplify right side
    12,416x = 391,406,656
  5. Step 5: Solve for x
    x = 391,406,656/12,416
  6. Step 6: Final answer
    x = 31,524.38

Related Problems

Find third proportional to 6,208 and 9,892
Half scale
Find third proportional to 24,832 and 39,568
Double scale
Find third proportional to 12,418 and 19,787
Similar ratio
Find third proportional to 18,624 and 29,676
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.