Home / 5,969-9,561

Finding the Third Proportional to 5,969 and 9,561

Calculator

Solution

The third proportional to 5,969 and 9,561 is: 15,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969 : 9,561 = 9,561 : x
  2. Step 2: Convert to fraction form
    5,969/9,561 = 9,561/x
  3. Step 3: Cross multiply
    5,969x = 9,561 × 9,561
  4. Step 4: Simplify right side
    5,969x = 91,412,721
  5. Step 5: Solve for x
    x = 91,412,721/5,969
  6. Step 6: Final answer
    x = 15,314.58

Related Problems

Find third proportional to 2,984.50 and 4,780.50
Half scale
Find third proportional to 11,938 and 19,122
Double scale
Find third proportional to 5,971 and 9,564
Similar ratio
Find third proportional to 8,953.50 and 14,341.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.