Home / 101,772-149,012

Finding the Third Proportional to 101,772 and 149,012

Calculator

Solution

The third proportional to 101,772 and 149,012 is: 218,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772 : 149,012 = 149,012 : x
  2. Step 2: Convert to fraction form
    101,772/149,012 = 149,012/x
  3. Step 3: Cross multiply
    101,772x = 149,012 × 149,012
  4. Step 4: Simplify right side
    101,772x = 22,204,576,144
  5. Step 5: Solve for x
    x = 22,204,576,144/101,772
  6. Step 6: Final answer
    x = 218,179.62

Related Problems

Find third proportional to 50,886 and 74,506
Half scale
Find third proportional to 203,544 and 298,024
Double scale
Find third proportional to 101,774 and 149,015
Similar ratio
Find third proportional to 152,658 and 223,518
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.