Home / 7,648-11,688

Finding the Third Proportional to 7,648 and 11,688

Calculator

Solution

The third proportional to 7,648 and 11,688 is: 17,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 11,688 = 11,688 : x
  2. Step 2: Convert to fraction form
    7,648/11,688 = 11,688/x
  3. Step 3: Cross multiply
    7,648x = 11,688 × 11,688
  4. Step 4: Simplify right side
    7,648x = 136,609,344
  5. Step 5: Solve for x
    x = 136,609,344/7,648
  6. Step 6: Final answer
    x = 17,862.10

Related Problems

Find third proportional to 3,824 and 5,844
Half scale
Find third proportional to 15,296 and 23,376
Double scale
Find third proportional to 7,650 and 11,691
Similar ratio
Find third proportional to 11,472 and 17,532
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.