Home / 38,206-83,054

Finding the Third Proportional to 38,206 and 83,054

Calculator

Solution

The third proportional to 38,206 and 83,054 is: 180,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206 : 83,054 = 83,054 : x
  2. Step 2: Convert to fraction form
    38,206/83,054 = 83,054/x
  3. Step 3: Cross multiply
    38,206x = 83,054 × 83,054
  4. Step 4: Simplify right side
    38,206x = 6,897,966,916
  5. Step 5: Solve for x
    x = 6,897,966,916/38,206
  6. Step 6: Final answer
    x = 180,546.69

Related Problems

Find third proportional to 19,103 and 41,527
Half scale
Find third proportional to 76,412 and 166,108
Double scale
Find third proportional to 38,208 and 83,058
Similar ratio
Find third proportional to 57,309 and 124,581
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.