Home / 83,098-181,421

Finding the Third Proportional to 83,098 and 181,421

Calculator

Solution

The third proportional to 83,098 and 181,421 is: 396,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098 : 181,421 = 181,421 : x
  2. Step 2: Convert to fraction form
    83,098/181,421 = 181,421/x
  3. Step 3: Cross multiply
    83,098x = 181,421 × 181,421
  4. Step 4: Simplify right side
    83,098x = 32,913,579,241
  5. Step 5: Solve for x
    x = 32,913,579,241/83,098
  6. Step 6: Final answer
    x = 396,081.49

Related Problems

Find third proportional to 41,549 and 90,710.50
Half scale
Find third proportional to 166,196 and 362,842
Double scale
Find third proportional to 83,100 and 181,425
Similar ratio
Find third proportional to 124,647 and 272,131.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.