Home / 156,581-209,743

Finding the Third Proportional to 156,581 and 209,743

Calculator

Solution

The third proportional to 156,581 and 209,743 is: 280,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,581 : 209,743 = 209,743 : x
  2. Step 2: Convert to fraction form
    156,581/209,743 = 209,743/x
  3. Step 3: Cross multiply
    156,581x = 209,743 × 209,743
  4. Step 4: Simplify right side
    156,581x = 43,992,126,049
  5. Step 5: Solve for x
    x = 43,992,126,049/156,581
  6. Step 6: Final answer
    x = 280,954.43

Related Problems

Find third proportional to 78,290.50 and 104,871.50
Half scale
Find third proportional to 313,162 and 419,486
Double scale
Find third proportional to 156,583 and 209,746
Similar ratio
Find third proportional to 234,871.50 and 314,614.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.