Home / 38,816-83,172

Finding the Third Proportional to 38,816 and 83,172

Calculator

Solution

The third proportional to 38,816 and 83,172 is: 178,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 83,172 = 83,172 : x
  2. Step 2: Convert to fraction form
    38,816/83,172 = 83,172/x
  3. Step 3: Cross multiply
    38,816x = 83,172 × 83,172
  4. Step 4: Simplify right side
    38,816x = 6,917,581,584
  5. Step 5: Solve for x
    x = 6,917,581,584/38,816
  6. Step 6: Final answer
    x = 178,214.69

Related Problems

Find third proportional to 19,408 and 41,586
Half scale
Find third proportional to 77,632 and 166,344
Double scale
Find third proportional to 38,818 and 83,176
Similar ratio
Find third proportional to 58,224 and 124,758
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.