Home / 98,196-213,024

Finding the Third Proportional to 98,196 and 213,024

Calculator

Solution

The third proportional to 98,196 and 213,024 is: 462,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196 : 213,024 = 213,024 : x
  2. Step 2: Convert to fraction form
    98,196/213,024 = 213,024/x
  3. Step 3: Cross multiply
    98,196x = 213,024 × 213,024
  4. Step 4: Simplify right side
    98,196x = 45,379,224,576
  5. Step 5: Solve for x
    x = 45,379,224,576/98,196
  6. Step 6: Final answer
    x = 462,129.05

Related Problems

Find third proportional to 49,098 and 106,512
Half scale
Find third proportional to 196,392 and 426,048
Double scale
Find third proportional to 98,198 and 213,028
Similar ratio
Find third proportional to 147,294 and 319,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.