Home / 37,698-81,120

Finding the Third Proportional to 37,698 and 81,120

Calculator

Solution

The third proportional to 37,698 and 81,120 is: 174,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698 : 81,120 = 81,120 : x
  2. Step 2: Convert to fraction form
    37,698/81,120 = 81,120/x
  3. Step 3: Cross multiply
    37,698x = 81,120 × 81,120
  4. Step 4: Simplify right side
    37,698x = 6,580,454,400
  5. Step 5: Solve for x
    x = 6,580,454,400/37,698
  6. Step 6: Final answer
    x = 174,557.12

Related Problems

Find third proportional to 18,849 and 40,560
Half scale
Find third proportional to 75,396 and 162,240
Double scale
Find third proportional to 37,700 and 81,124
Similar ratio
Find third proportional to 56,547 and 121,680
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.