Home / 98,144-211,840

Finding the Third Proportional to 98,144 and 211,840

Calculator

Solution

The third proportional to 98,144 and 211,840 is: 457,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,144 : 211,840 = 211,840 : x
  2. Step 2: Convert to fraction form
    98,144/211,840 = 211,840/x
  3. Step 3: Cross multiply
    98,144x = 211,840 × 211,840
  4. Step 4: Simplify right side
    98,144x = 44,876,185,600
  5. Step 5: Solve for x
    x = 44,876,185,600/98,144
  6. Step 6: Final answer
    x = 457,248.39

Related Problems

Find third proportional to 49,072 and 105,920
Half scale
Find third proportional to 196,288 and 423,680
Double scale
Find third proportional to 98,146 and 211,844
Similar ratio
Find third proportional to 147,216 and 317,760
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.