Home / 101,765-149,002

Finding the Third Proportional to 101,765 and 149,002

Calculator

Solution

The third proportional to 101,765 and 149,002 is: 218,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,765 : 149,002 = 149,002 : x
  2. Step 2: Convert to fraction form
    101,765/149,002 = 149,002/x
  3. Step 3: Cross multiply
    101,765x = 149,002 × 149,002
  4. Step 4: Simplify right side
    101,765x = 22,201,596,004
  5. Step 5: Solve for x
    x = 22,201,596,004/101,765
  6. Step 6: Final answer
    x = 218,165.34

Related Problems

Find third proportional to 50,882.50 and 74,501
Half scale
Find third proportional to 203,530 and 298,004
Double scale
Find third proportional to 101,767 and 149,005
Similar ratio
Find third proportional to 152,647.50 and 223,503
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.