Home / 102,010-149,100

Finding the Third Proportional to 102,010 and 149,100

Calculator

Solution

The third proportional to 102,010 and 149,100 is: 217,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,010 : 149,100 = 149,100 : x
  2. Step 2: Convert to fraction form
    102,010/149,100 = 149,100/x
  3. Step 3: Cross multiply
    102,010x = 149,100 × 149,100
  4. Step 4: Simplify right side
    102,010x = 22,230,810,000
  5. Step 5: Solve for x
    x = 22,230,810,000/102,010
  6. Step 6: Final answer
    x = 217,927.75

Related Problems

Find third proportional to 51,005 and 74,550
Half scale
Find third proportional to 204,020 and 298,200
Double scale
Find third proportional to 102,012 and 149,103
Similar ratio
Find third proportional to 153,015 and 223,650
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.