Home / 98,724-213,208

Finding the Third Proportional to 98,724 and 213,208

Calculator

Solution

The third proportional to 98,724 and 213,208 is: 460,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,724 : 213,208 = 213,208 : x
  2. Step 2: Convert to fraction form
    98,724/213,208 = 213,208/x
  3. Step 3: Cross multiply
    98,724x = 213,208 × 213,208
  4. Step 4: Simplify right side
    98,724x = 45,457,651,264
  5. Step 5: Solve for x
    x = 45,457,651,264/98,724
  6. Step 6: Final answer
    x = 460,451.88

Related Problems

Find third proportional to 49,362 and 106,604
Half scale
Find third proportional to 197,448 and 426,416
Double scale
Find third proportional to 98,726 and 213,212
Similar ratio
Find third proportional to 148,086 and 319,812
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.