Home / 6,412-15,542

Finding the Third Proportional to 6,412 and 15,542

Calculator

Solution

The third proportional to 6,412 and 15,542 is: 37,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 15,542 = 15,542 : x
  2. Step 2: Convert to fraction form
    6,412/15,542 = 15,542/x
  3. Step 3: Cross multiply
    6,412x = 15,542 × 15,542
  4. Step 4: Simplify right side
    6,412x = 241,553,764
  5. Step 5: Solve for x
    x = 241,553,764/6,412
  6. Step 6: Final answer
    x = 37,672.14

Related Problems

Find third proportional to 3,206 and 7,771
Half scale
Find third proportional to 12,824 and 31,084
Double scale
Find third proportional to 6,414 and 15,547
Similar ratio
Find third proportional to 9,618 and 23,313
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.