Home / 283,980-431,154

Finding the Third Proportional to 283,980 and 431,154

Calculator

Solution

The third proportional to 283,980 and 431,154 is: 654,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,980 : 431,154 = 431,154 : x
  2. Step 2: Convert to fraction form
    283,980/431,154 = 431,154/x
  3. Step 3: Cross multiply
    283,980x = 431,154 × 431,154
  4. Step 4: Simplify right side
    283,980x = 185,893,771,716
  5. Step 5: Solve for x
    x = 185,893,771,716/283,980
  6. Step 6: Final answer
    x = 654,601.63

Related Problems

Find third proportional to 141,990 and 215,577
Half scale
Find third proportional to 567,960 and 862,308
Double scale
Find third proportional to 283,982 and 431,157
Similar ratio
Find third proportional to 425,970 and 646,731
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.