Home / 8,414-9,602

Finding the Third Proportional to 8,414 and 9,602

Calculator

Solution

The third proportional to 8,414 and 9,602 is: 10,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414 : 9,602 = 9,602 : x
  2. Step 2: Convert to fraction form
    8,414/9,602 = 9,602/x
  3. Step 3: Cross multiply
    8,414x = 9,602 × 9,602
  4. Step 4: Simplify right side
    8,414x = 92,198,404
  5. Step 5: Solve for x
    x = 92,198,404/8,414
  6. Step 6: Final answer
    x = 10,957.74

Related Problems

Find third proportional to 4,207 and 4,801
Half scale
Find third proportional to 16,828 and 19,204
Double scale
Find third proportional to 8,416 and 9,604
Similar ratio
Find third proportional to 12,621 and 14,403
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.