Home / 10,569-15,824

Finding the Third Proportional to 10,569 and 15,824

Calculator

Solution

The third proportional to 10,569 and 15,824 is: 23,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569 : 15,824 = 15,824 : x
  2. Step 2: Convert to fraction form
    10,569/15,824 = 15,824/x
  3. Step 3: Cross multiply
    10,569x = 15,824 × 15,824
  4. Step 4: Simplify right side
    10,569x = 250,398,976
  5. Step 5: Solve for x
    x = 250,398,976/10,569
  6. Step 6: Final answer
    x = 23,691.83

Related Problems

Find third proportional to 5,284.50 and 7,912
Half scale
Find third proportional to 21,138 and 31,648
Double scale
Find third proportional to 10,571 and 15,827
Similar ratio
Find third proportional to 15,853.50 and 23,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.