Home / 99,828-214,344

Finding the Third Proportional to 99,828 and 214,344

Calculator

Solution

The third proportional to 99,828 and 214,344 is: 460,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,828 : 214,344 = 214,344 : x
  2. Step 2: Convert to fraction form
    99,828/214,344 = 214,344/x
  3. Step 3: Cross multiply
    99,828x = 214,344 × 214,344
  4. Step 4: Simplify right side
    99,828x = 45,943,350,336
  5. Step 5: Solve for x
    x = 45,943,350,336/99,828
  6. Step 6: Final answer
    x = 460,225.09

Related Problems

Find third proportional to 49,914 and 107,172
Half scale
Find third proportional to 199,656 and 428,688
Double scale
Find third proportional to 99,830 and 214,348
Similar ratio
Find third proportional to 149,742 and 321,516
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.