Home / 8,292-12,689

Finding the Third Proportional to 8,292 and 12,689

Calculator

Solution

The third proportional to 8,292 and 12,689 is: 19,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292 : 12,689 = 12,689 : x
  2. Step 2: Convert to fraction form
    8,292/12,689 = 12,689/x
  3. Step 3: Cross multiply
    8,292x = 12,689 × 12,689
  4. Step 4: Simplify right side
    8,292x = 161,010,721
  5. Step 5: Solve for x
    x = 161,010,721/8,292
  6. Step 6: Final answer
    x = 19,417.60

Related Problems

Find third proportional to 4,146 and 6,344.50
Half scale
Find third proportional to 16,584 and 25,378
Double scale
Find third proportional to 8,294 and 12,692
Similar ratio
Find third proportional to 12,438 and 19,033.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.