Home / 138,198-290,327.63

Finding the Third Proportional to 138,198 and 290,327.63

Calculator

Solution

The third proportional to 138,198 and 290,327.63 is: 609,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,198 : 290,327.63 = 290,327.63 : x
  2. Step 2: Convert to fraction form
    138,198/290,327.63 = 290,327.63/x
  3. Step 3: Cross multiply
    138,198x = 290,327.63 × 290,327.63
  4. Step 4: Simplify right side
    138,198x = 84,290,129,838.14
  5. Step 5: Solve for x
    x = 84,290,129,838.14/138,198
  6. Step 6: Final answer
    x = 609,922.94

Related Problems

Find third proportional to 69,099 and 145,163.81
Half scale
Find third proportional to 276,396 and 580,655.25
Double scale
Find third proportional to 138,200 and 290,332
Similar ratio
Find third proportional to 207,297 and 435,491.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.