Home / 7,214-15,689

Finding the Third Proportional to 7,214 and 15,689

Calculator

Solution

The third proportional to 7,214 and 15,689 is: 34,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 15,689 = 15,689 : x
  2. Step 2: Convert to fraction form
    7,214/15,689 = 15,689/x
  3. Step 3: Cross multiply
    7,214x = 15,689 × 15,689
  4. Step 4: Simplify right side
    7,214x = 246,144,721
  5. Step 5: Solve for x
    x = 246,144,721/7,214
  6. Step 6: Final answer
    x = 34,120.42

Related Problems

Find third proportional to 3,607 and 7,844.50
Half scale
Find third proportional to 14,428 and 31,378
Double scale
Find third proportional to 7,216 and 15,693
Similar ratio
Find third proportional to 10,821 and 23,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.