Home / 98,912-205,984

Finding the Third Proportional to 98,912 and 205,984

Calculator

Solution

The third proportional to 98,912 and 205,984 is: 428,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,912 : 205,984 = 205,984 : x
  2. Step 2: Convert to fraction form
    98,912/205,984 = 205,984/x
  3. Step 3: Cross multiply
    98,912x = 205,984 × 205,984
  4. Step 4: Simplify right side
    98,912x = 42,429,408,256
  5. Step 5: Solve for x
    x = 42,429,408,256/98,912
  6. Step 6: Final answer
    x = 428,961.18

Related Problems

Find third proportional to 49,456 and 102,992
Half scale
Find third proportional to 197,824 and 411,968
Double scale
Find third proportional to 98,914 and 205,988
Similar ratio
Find third proportional to 148,368 and 308,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.