Home / 13,210-19,597

Finding the Third Proportional to 13,210 and 19,597

Calculator

Solution

The third proportional to 13,210 and 19,597 is: 29,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210 : 19,597 = 19,597 : x
  2. Step 2: Convert to fraction form
    13,210/19,597 = 19,597/x
  3. Step 3: Cross multiply
    13,210x = 19,597 × 19,597
  4. Step 4: Simplify right side
    13,210x = 384,042,409
  5. Step 5: Solve for x
    x = 384,042,409/13,210
  6. Step 6: Final answer
    x = 29,072.10

Related Problems

Find third proportional to 6,605 and 9,798.50
Half scale
Find third proportional to 26,420 and 39,194
Double scale
Find third proportional to 13,212 and 19,600
Similar ratio
Find third proportional to 19,815 and 29,395.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.