Home / 38,606-83,302

Finding the Third Proportional to 38,606 and 83,302

Calculator

Solution

The third proportional to 38,606 and 83,302 is: 179,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,606 : 83,302 = 83,302 : x
  2. Step 2: Convert to fraction form
    38,606/83,302 = 83,302/x
  3. Step 3: Cross multiply
    38,606x = 83,302 × 83,302
  4. Step 4: Simplify right side
    38,606x = 6,939,223,204
  5. Step 5: Solve for x
    x = 6,939,223,204/38,606
  6. Step 6: Final answer
    x = 179,744.68

Related Problems

Find third proportional to 19,303 and 41,651
Half scale
Find third proportional to 77,212 and 166,604
Double scale
Find third proportional to 38,608 and 83,306
Similar ratio
Find third proportional to 57,909 and 124,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.