Home / 12,782-19,466

Finding the Third Proportional to 12,782 and 19,466

Calculator

Solution

The third proportional to 12,782 and 19,466 is: 29,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782 : 19,466 = 19,466 : x
  2. Step 2: Convert to fraction form
    12,782/19,466 = 19,466/x
  3. Step 3: Cross multiply
    12,782x = 19,466 × 19,466
  4. Step 4: Simplify right side
    12,782x = 378,925,156
  5. Step 5: Solve for x
    x = 378,925,156/12,782
  6. Step 6: Final answer
    x = 29,645.22

Related Problems

Find third proportional to 6,391 and 9,733
Half scale
Find third proportional to 25,564 and 38,932
Double scale
Find third proportional to 12,784 and 19,469
Similar ratio
Find third proportional to 19,173 and 29,199
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.