Home / 60,189-84,138

Finding the Third Proportional to 60,189 and 84,138

Calculator

Solution

The third proportional to 60,189 and 84,138 is: 117,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,189 : 84,138 = 84,138 : x
  2. Step 2: Convert to fraction form
    60,189/84,138 = 84,138/x
  3. Step 3: Cross multiply
    60,189x = 84,138 × 84,138
  4. Step 4: Simplify right side
    60,189x = 7,079,203,044
  5. Step 5: Solve for x
    x = 7,079,203,044/60,189
  6. Step 6: Final answer
    x = 117,616.23

Related Problems

Find third proportional to 30,094.50 and 42,069
Half scale
Find third proportional to 120,378 and 168,276
Double scale
Find third proportional to 60,191 and 84,141
Similar ratio
Find third proportional to 90,283.50 and 126,207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.