Home / 257,710-362,912

Finding the Third Proportional to 257,710 and 362,912

Calculator

Solution

The third proportional to 257,710 and 362,912 is: 511,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710 : 362,912 = 362,912 : x
  2. Step 2: Convert to fraction form
    257,710/362,912 = 362,912/x
  3. Step 3: Cross multiply
    257,710x = 362,912 × 362,912
  4. Step 4: Simplify right side
    257,710x = 131,705,119,744
  5. Step 5: Solve for x
    x = 131,705,119,744/257,710
  6. Step 6: Final answer
    x = 511,059.41

Related Problems

Find third proportional to 128,855 and 181,456
Half scale
Find third proportional to 515,420 and 725,824
Double scale
Find third proportional to 257,712 and 362,915
Similar ratio
Find third proportional to 386,565 and 544,368
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.