Home / 7,470-13,194

Finding the Third Proportional to 7,470 and 13,194

Calculator

Solution

The third proportional to 7,470 and 13,194 is: 23,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 13,194 = 13,194 : x
  2. Step 2: Convert to fraction form
    7,470/13,194 = 13,194/x
  3. Step 3: Cross multiply
    7,470x = 13,194 × 13,194
  4. Step 4: Simplify right side
    7,470x = 174,081,636
  5. Step 5: Solve for x
    x = 174,081,636/7,470
  6. Step 6: Final answer
    x = 23,304.10

Related Problems

Find third proportional to 3,735 and 6,597
Half scale
Find third proportional to 14,940 and 26,388
Double scale
Find third proportional to 7,472 and 13,198
Similar ratio
Find third proportional to 11,205 and 19,791
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.