Home / 7,071-15,537

Finding the Third Proportional to 7,071 and 15,537

Calculator

Solution

The third proportional to 7,071 and 15,537 is: 34,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 15,537 = 15,537 : x
  2. Step 2: Convert to fraction form
    7,071/15,537 = 15,537/x
  3. Step 3: Cross multiply
    7,071x = 15,537 × 15,537
  4. Step 4: Simplify right side
    7,071x = 241,398,369
  5. Step 5: Solve for x
    x = 241,398,369/7,071
  6. Step 6: Final answer
    x = 34,139.21

Related Problems

Find third proportional to 3,535.50 and 7,768.50
Half scale
Find third proportional to 14,142 and 31,074
Double scale
Find third proportional to 7,073 and 15,541
Similar ratio
Find third proportional to 10,606.50 and 23,305.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.