Home / 283,976-431,148

Finding the Third Proportional to 283,976 and 431,148

Calculator

Solution

The third proportional to 283,976 and 431,148 is: 654,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,976 : 431,148 = 431,148 : x
  2. Step 2: Convert to fraction form
    283,976/431,148 = 431,148/x
  3. Step 3: Cross multiply
    283,976x = 431,148 × 431,148
  4. Step 4: Simplify right side
    283,976x = 185,888,597,904
  5. Step 5: Solve for x
    x = 185,888,597,904/283,976
  6. Step 6: Final answer
    x = 654,592.63

Related Problems

Find third proportional to 141,988 and 215,574
Half scale
Find third proportional to 567,952 and 862,296
Double scale
Find third proportional to 283,978 and 431,151
Similar ratio
Find third proportional to 425,964 and 646,722
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.