Home / 15,682-21,507

Finding the Third Proportional to 15,682 and 21,507

Calculator

Solution

The third proportional to 15,682 and 21,507 is: 29,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682 : 21,507 = 21,507 : x
  2. Step 2: Convert to fraction form
    15,682/21,507 = 21,507/x
  3. Step 3: Cross multiply
    15,682x = 21,507 × 21,507
  4. Step 4: Simplify right side
    15,682x = 462,551,049
  5. Step 5: Solve for x
    x = 462,551,049/15,682
  6. Step 6: Final answer
    x = 29,495.67

Related Problems

Find third proportional to 7,841 and 10,753.50
Half scale
Find third proportional to 31,364 and 43,014
Double scale
Find third proportional to 15,684 and 21,510
Similar ratio
Find third proportional to 23,523 and 32,260.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.