Home / 84,945-102,014

Finding the Third Proportional to 84,945 and 102,014

Calculator

Solution

The third proportional to 84,945 and 102,014 is: 122,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,945 : 102,014 = 102,014 : x
  2. Step 2: Convert to fraction form
    84,945/102,014 = 102,014/x
  3. Step 3: Cross multiply
    84,945x = 102,014 × 102,014
  4. Step 4: Simplify right side
    84,945x = 10,406,856,196
  5. Step 5: Solve for x
    x = 10,406,856,196/84,945
  6. Step 6: Final answer
    x = 122,512.88

Related Problems

Find third proportional to 42,472.50 and 51,007
Half scale
Find third proportional to 169,890 and 204,028
Double scale
Find third proportional to 84,947 and 102,016
Similar ratio
Find third proportional to 127,417.50 and 153,021
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.