Home / 12,278-19,524

Finding the Third Proportional to 12,278 and 19,524

Calculator

Solution

The third proportional to 12,278 and 19,524 is: 31,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278 : 19,524 = 19,524 : x
  2. Step 2: Convert to fraction form
    12,278/19,524 = 19,524/x
  3. Step 3: Cross multiply
    12,278x = 19,524 × 19,524
  4. Step 4: Simplify right side
    12,278x = 381,186,576
  5. Step 5: Solve for x
    x = 381,186,576/12,278
  6. Step 6: Final answer
    x = 31,046.31

Related Problems

Find third proportional to 6,139 and 9,762
Half scale
Find third proportional to 24,556 and 39,048
Double scale
Find third proportional to 12,280 and 19,527
Similar ratio
Find third proportional to 18,417 and 29,286
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.