Home / 83,909-177,538

Finding the Third Proportional to 83,909 and 177,538

Calculator

Solution

The third proportional to 83,909 and 177,538 is: 375,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909 : 177,538 = 177,538 : x
  2. Step 2: Convert to fraction form
    83,909/177,538 = 177,538/x
  3. Step 3: Cross multiply
    83,909x = 177,538 × 177,538
  4. Step 4: Simplify right side
    83,909x = 31,519,741,444
  5. Step 5: Solve for x
    x = 31,519,741,444/83,909
  6. Step 6: Final answer
    x = 375,641.96

Related Problems

Find third proportional to 41,954.50 and 88,769
Half scale
Find third proportional to 167,818 and 355,076
Double scale
Find third proportional to 83,911 and 177,542
Similar ratio
Find third proportional to 125,863.50 and 266,307
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.