Home / 8,420-13,342

Finding the Third Proportional to 8,420 and 13,342

Calculator

Solution

The third proportional to 8,420 and 13,342 is: 21,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 13,342 = 13,342 : x
  2. Step 2: Convert to fraction form
    8,420/13,342 = 13,342/x
  3. Step 3: Cross multiply
    8,420x = 13,342 × 13,342
  4. Step 4: Simplify right side
    8,420x = 178,008,964
  5. Step 5: Solve for x
    x = 178,008,964/8,420
  6. Step 6: Final answer
    x = 21,141.21

Related Problems

Find third proportional to 4,210 and 6,671
Half scale
Find third proportional to 16,840 and 26,684
Double scale
Find third proportional to 8,422 and 13,345
Similar ratio
Find third proportional to 12,630 and 20,013
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.