Home / 78,172-121,201

Finding the Third Proportional to 78,172 and 121,201

Calculator

Solution

The third proportional to 78,172 and 121,201 is: 187,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172 : 121,201 = 121,201 : x
  2. Step 2: Convert to fraction form
    78,172/121,201 = 121,201/x
  3. Step 3: Cross multiply
    78,172x = 121,201 × 121,201
  4. Step 4: Simplify right side
    78,172x = 14,689,682,401
  5. Step 5: Solve for x
    x = 14,689,682,401/78,172
  6. Step 6: Final answer
    x = 187,914.89

Related Problems

Find third proportional to 39,086 and 60,600.50
Half scale
Find third proportional to 156,344 and 242,402
Double scale
Find third proportional to 78,174 and 121,204
Similar ratio
Find third proportional to 117,258 and 181,801.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.