Home / 12,564-19,278

Finding the Third Proportional to 12,564 and 19,278

Calculator

Solution

The third proportional to 12,564 and 19,278 is: 29,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 19,278 = 19,278 : x
  2. Step 2: Convert to fraction form
    12,564/19,278 = 19,278/x
  3. Step 3: Cross multiply
    12,564x = 19,278 × 19,278
  4. Step 4: Simplify right side
    12,564x = 371,641,284
  5. Step 5: Solve for x
    x = 371,641,284/12,564
  6. Step 6: Final answer
    x = 29,579.85

Related Problems

Find third proportional to 6,282 and 9,639
Half scale
Find third proportional to 25,128 and 38,556
Double scale
Find third proportional to 12,566 and 19,281
Similar ratio
Find third proportional to 18,846 and 28,917
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.