Home / 12,784-19,560

Finding the Third Proportional to 12,784 and 19,560

Calculator

Solution

The third proportional to 12,784 and 19,560 is: 29,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784 : 19,560 = 19,560 : x
  2. Step 2: Convert to fraction form
    12,784/19,560 = 19,560/x
  3. Step 3: Cross multiply
    12,784x = 19,560 × 19,560
  4. Step 4: Simplify right side
    12,784x = 382,593,600
  5. Step 5: Solve for x
    x = 382,593,600/12,784
  6. Step 6: Final answer
    x = 29,927.53

Related Problems

Find third proportional to 6,392 and 9,780
Half scale
Find third proportional to 25,568 and 39,120
Double scale
Find third proportional to 12,786 and 19,563
Similar ratio
Find third proportional to 19,176 and 29,340
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.