Home / 137,115-208,318

Finding the Third Proportional to 137,115 and 208,318

Calculator

Solution

The third proportional to 137,115 and 208,318 is: 316,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,115 : 208,318 = 208,318 : x
  2. Step 2: Convert to fraction form
    137,115/208,318 = 208,318/x
  3. Step 3: Cross multiply
    137,115x = 208,318 × 208,318
  4. Step 4: Simplify right side
    137,115x = 43,396,389,124
  5. Step 5: Solve for x
    x = 43,396,389,124/137,115
  6. Step 6: Final answer
    x = 316,496.29

Related Problems

Find third proportional to 68,557.50 and 104,159
Half scale
Find third proportional to 274,230 and 416,636
Double scale
Find third proportional to 137,117 and 208,321
Similar ratio
Find third proportional to 205,672.50 and 312,477
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.