Home / 82,316-122,984

Finding the Third Proportional to 82,316 and 122,984

Calculator

Solution

The third proportional to 82,316 and 122,984 is: 183,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,316 : 122,984 = 122,984 : x
  2. Step 2: Convert to fraction form
    82,316/122,984 = 122,984/x
  3. Step 3: Cross multiply
    82,316x = 122,984 × 122,984
  4. Step 4: Simplify right side
    82,316x = 15,125,064,256
  5. Step 5: Solve for x
    x = 15,125,064,256/82,316
  6. Step 6: Final answer
    x = 183,743.92

Related Problems

Find third proportional to 41,158 and 61,492
Half scale
Find third proportional to 164,632 and 245,968
Double scale
Find third proportional to 82,318 and 122,987
Similar ratio
Find third proportional to 123,474 and 184,476
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.