Home / 61,946-83,231

Finding the Third Proportional to 61,946 and 83,231

Calculator

Solution

The third proportional to 61,946 and 83,231 is: 111,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,946 : 83,231 = 83,231 : x
  2. Step 2: Convert to fraction form
    61,946/83,231 = 83,231/x
  3. Step 3: Cross multiply
    61,946x = 83,231 × 83,231
  4. Step 4: Simplify right side
    61,946x = 6,927,399,361
  5. Step 5: Solve for x
    x = 6,927,399,361/61,946
  6. Step 6: Final answer
    x = 111,829.65

Related Problems

Find third proportional to 30,973 and 41,615.50
Half scale
Find third proportional to 123,892 and 166,462
Double scale
Find third proportional to 61,948 and 83,234
Similar ratio
Find third proportional to 92,919 and 124,846.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.