Home / 142,386-313,195

Finding the Third Proportional to 142,386 and 313,195

Calculator

Solution

The third proportional to 142,386 and 313,195 is: 688,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,386 : 313,195 = 313,195 : x
  2. Step 2: Convert to fraction form
    142,386/313,195 = 313,195/x
  3. Step 3: Cross multiply
    142,386x = 313,195 × 313,195
  4. Step 4: Simplify right side
    142,386x = 98,091,108,025
  5. Step 5: Solve for x
    x = 98,091,108,025/142,386
  6. Step 6: Final answer
    x = 688,909.78

Related Problems

Find third proportional to 71,193 and 156,597.50
Half scale
Find third proportional to 284,772 and 626,390
Double scale
Find third proportional to 142,388 and 313,199
Similar ratio
Find third proportional to 213,579 and 469,792.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.