Home / 135,712-205,053

Finding the Third Proportional to 135,712 and 205,053

Calculator

Solution

The third proportional to 135,712 and 205,053 is: 309,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712 : 205,053 = 205,053 : x
  2. Step 2: Convert to fraction form
    135,712/205,053 = 205,053/x
  3. Step 3: Cross multiply
    135,712x = 205,053 × 205,053
  4. Step 4: Simplify right side
    135,712x = 42,046,732,809
  5. Step 5: Solve for x
    x = 42,046,732,809/135,712
  6. Step 6: Final answer
    x = 309,823.25

Related Problems

Find third proportional to 67,856 and 102,526.50
Half scale
Find third proportional to 271,424 and 410,106
Double scale
Find third proportional to 135,714 and 205,056
Similar ratio
Find third proportional to 203,568 and 307,579.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.