Home / 7,574-11,023

Finding the Third Proportional to 7,574 and 11,023

Calculator

Solution

The third proportional to 7,574 and 11,023 is: 16,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574 : 11,023 = 11,023 : x
  2. Step 2: Convert to fraction form
    7,574/11,023 = 11,023/x
  3. Step 3: Cross multiply
    7,574x = 11,023 × 11,023
  4. Step 4: Simplify right side
    7,574x = 121,506,529
  5. Step 5: Solve for x
    x = 121,506,529/7,574
  6. Step 6: Final answer
    x = 16,042.58

Related Problems

Find third proportional to 3,787 and 5,511.50
Half scale
Find third proportional to 15,148 and 22,046
Double scale
Find third proportional to 7,576 and 11,026
Similar ratio
Find third proportional to 11,361 and 16,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.