Home / 13,420-31,194

Finding the Third Proportional to 13,420 and 31,194

Calculator

Solution

The third proportional to 13,420 and 31,194 is: 72,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 31,194 = 31,194 : x
  2. Step 2: Convert to fraction form
    13,420/31,194 = 31,194/x
  3. Step 3: Cross multiply
    13,420x = 31,194 × 31,194
  4. Step 4: Simplify right side
    13,420x = 973,065,636
  5. Step 5: Solve for x
    x = 973,065,636/13,420
  6. Step 6: Final answer
    x = 72,508.62

Related Problems

Find third proportional to 6,710 and 15,597
Half scale
Find third proportional to 26,840 and 62,388
Double scale
Find third proportional to 13,422 and 31,199
Similar ratio
Find third proportional to 20,130 and 46,791
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.