Home / 7,538-15,814

Finding the Third Proportional to 7,538 and 15,814

Calculator

Solution

The third proportional to 7,538 and 15,814 is: 33,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538 : 15,814 = 15,814 : x
  2. Step 2: Convert to fraction form
    7,538/15,814 = 15,814/x
  3. Step 3: Cross multiply
    7,538x = 15,814 × 15,814
  4. Step 4: Simplify right side
    7,538x = 250,082,596
  5. Step 5: Solve for x
    x = 250,082,596/7,538
  6. Step 6: Final answer
    x = 33,176.25

Related Problems

Find third proportional to 3,769 and 7,907
Half scale
Find third proportional to 15,076 and 31,628
Double scale
Find third proportional to 7,540 and 15,818
Similar ratio
Find third proportional to 11,307 and 23,721
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.