Home / 138,213-207,846

Finding the Third Proportional to 138,213 and 207,846

Calculator

Solution

The third proportional to 138,213 and 207,846 is: 312,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213 : 207,846 = 207,846 : x
  2. Step 2: Convert to fraction form
    138,213/207,846 = 207,846/x
  3. Step 3: Cross multiply
    138,213x = 207,846 × 207,846
  4. Step 4: Simplify right side
    138,213x = 43,199,959,716
  5. Step 5: Solve for x
    x = 43,199,959,716/138,213
  6. Step 6: Final answer
    x = 312,560.76

Related Problems

Find third proportional to 69,106.50 and 103,923
Half scale
Find third proportional to 276,426 and 415,692
Double scale
Find third proportional to 138,215 and 207,849
Similar ratio
Find third proportional to 207,319.50 and 311,769
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.