Home / 15,782-23,714

Finding the Third Proportional to 15,782 and 23,714

Calculator

Solution

The third proportional to 15,782 and 23,714 is: 35,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782 : 23,714 = 23,714 : x
  2. Step 2: Convert to fraction form
    15,782/23,714 = 23,714/x
  3. Step 3: Cross multiply
    15,782x = 23,714 × 23,714
  4. Step 4: Simplify right side
    15,782x = 562,353,796
  5. Step 5: Solve for x
    x = 562,353,796/15,782
  6. Step 6: Final answer
    x = 35,632.61

Related Problems

Find third proportional to 7,891 and 11,857
Half scale
Find third proportional to 31,564 and 47,428
Double scale
Find third proportional to 15,784 and 23,717
Similar ratio
Find third proportional to 23,673 and 35,571
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.