Home / 82,255-123,989

Finding the Third Proportional to 82,255 and 123,989

Calculator

Solution

The third proportional to 82,255 and 123,989 is: 186,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,255 : 123,989 = 123,989 : x
  2. Step 2: Convert to fraction form
    82,255/123,989 = 123,989/x
  3. Step 3: Cross multiply
    82,255x = 123,989 × 123,989
  4. Step 4: Simplify right side
    82,255x = 15,373,272,121
  5. Step 5: Solve for x
    x = 15,373,272,121/82,255
  6. Step 6: Final answer
    x = 186,897.72

Related Problems

Find third proportional to 41,127.50 and 61,994.50
Half scale
Find third proportional to 164,510 and 247,978
Double scale
Find third proportional to 82,257 and 123,992
Similar ratio
Find third proportional to 123,382.50 and 185,983.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.