Home / 305,928-656,142

Finding the Third Proportional to 305,928 and 656,142

Calculator

Solution

The third proportional to 305,928 and 656,142 is: 1,407,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,928 : 656,142 = 656,142 : x
  2. Step 2: Convert to fraction form
    305,928/656,142 = 656,142/x
  3. Step 3: Cross multiply
    305,928x = 656,142 × 656,142
  4. Step 4: Simplify right side
    305,928x = 430,522,324,164
  5. Step 5: Solve for x
    x = 430,522,324,164/305,928
  6. Step 6: Final answer
    x = 1,407,266.82

Related Problems

Find third proportional to 152,964 and 328,071
Half scale
Find third proportional to 611,856 and 1,312,284
Double scale
Find third proportional to 305,930 and 656,146
Similar ratio
Find third proportional to 458,892 and 984,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.