Home / 76,210-102,803

Finding the Third Proportional to 76,210 and 102,803

Calculator

Solution

The third proportional to 76,210 and 102,803 is: 138,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210 : 102,803 = 102,803 : x
  2. Step 2: Convert to fraction form
    76,210/102,803 = 102,803/x
  3. Step 3: Cross multiply
    76,210x = 102,803 × 102,803
  4. Step 4: Simplify right side
    76,210x = 10,568,456,809
  5. Step 5: Solve for x
    x = 10,568,456,809/76,210
  6. Step 6: Final answer
    x = 138,675.46

Related Problems

Find third proportional to 38,105 and 51,401.50
Half scale
Find third proportional to 152,420 and 205,606
Double scale
Find third proportional to 76,212 and 102,806
Similar ratio
Find third proportional to 114,315 and 154,204.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.