Home / 12,350-19,578

Finding the Third Proportional to 12,350 and 19,578

Calculator

Solution

The third proportional to 12,350 and 19,578 is: 31,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 19,578 = 19,578 : x
  2. Step 2: Convert to fraction form
    12,350/19,578 = 19,578/x
  3. Step 3: Cross multiply
    12,350x = 19,578 × 19,578
  4. Step 4: Simplify right side
    12,350x = 383,298,084
  5. Step 5: Solve for x
    x = 383,298,084/12,350
  6. Step 6: Final answer
    x = 31,036.28

Related Problems

Find third proportional to 6,175 and 9,789
Half scale
Find third proportional to 24,700 and 39,156
Double scale
Find third proportional to 12,352 and 19,581
Similar ratio
Find third proportional to 18,525 and 29,367
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.