Home / 7,538-10,964

Finding the Third Proportional to 7,538 and 10,964

Calculator

Solution

The third proportional to 7,538 and 10,964 is: 15,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538 : 10,964 = 10,964 : x
  2. Step 2: Convert to fraction form
    7,538/10,964 = 10,964/x
  3. Step 3: Cross multiply
    7,538x = 10,964 × 10,964
  4. Step 4: Simplify right side
    7,538x = 120,209,296
  5. Step 5: Solve for x
    x = 120,209,296/7,538
  6. Step 6: Final answer
    x = 15,947.11

Related Problems

Find third proportional to 3,769 and 5,482
Half scale
Find third proportional to 15,076 and 21,928
Double scale
Find third proportional to 7,540 and 10,967
Similar ratio
Find third proportional to 11,307 and 16,446
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.