Home / 9,574-15,537

Finding the Third Proportional to 9,574 and 15,537

Calculator

Solution

The third proportional to 9,574 and 15,537 is: 25,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574 : 15,537 = 15,537 : x
  2. Step 2: Convert to fraction form
    9,574/15,537 = 15,537/x
  3. Step 3: Cross multiply
    9,574x = 15,537 × 15,537
  4. Step 4: Simplify right side
    9,574x = 241,398,369
  5. Step 5: Solve for x
    x = 241,398,369/9,574
  6. Step 6: Final answer
    x = 25,213.95

Related Problems

Find third proportional to 4,787 and 7,768.50
Half scale
Find third proportional to 19,148 and 31,074
Double scale
Find third proportional to 9,576 and 15,540
Similar ratio
Find third proportional to 14,361 and 23,305.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.