Home / 35,737-83,091

Finding the Third Proportional to 35,737 and 83,091

Calculator

Solution

The third proportional to 35,737 and 83,091 is: 193,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737 : 83,091 = 83,091 : x
  2. Step 2: Convert to fraction form
    35,737/83,091 = 83,091/x
  3. Step 3: Cross multiply
    35,737x = 83,091 × 83,091
  4. Step 4: Simplify right side
    35,737x = 6,904,114,281
  5. Step 5: Solve for x
    x = 6,904,114,281/35,737
  6. Step 6: Final answer
    x = 193,192.33

Related Problems

Find third proportional to 17,868.50 and 41,545.50
Half scale
Find third proportional to 71,474 and 166,182
Double scale
Find third proportional to 35,739 and 83,096
Similar ratio
Find third proportional to 53,605.50 and 124,636.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.