Home / 6,709-15,786

Finding the Third Proportional to 6,709 and 15,786

Calculator

Solution

The third proportional to 6,709 and 15,786 is: 37,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709 : 15,786 = 15,786 : x
  2. Step 2: Convert to fraction form
    6,709/15,786 = 15,786/x
  3. Step 3: Cross multiply
    6,709x = 15,786 × 15,786
  4. Step 4: Simplify right side
    6,709x = 249,197,796
  5. Step 5: Solve for x
    x = 249,197,796/6,709
  6. Step 6: Final answer
    x = 37,143.81

Related Problems

Find third proportional to 3,354.50 and 7,893
Half scale
Find third proportional to 13,418 and 31,572
Double scale
Find third proportional to 6,711 and 15,791
Similar ratio
Find third proportional to 10,063.50 and 23,679
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.