Home / 209,088-324,216

Finding the Third Proportional to 209,088 and 324,216

Calculator

Solution

The third proportional to 209,088 and 324,216 is: 502,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,088 : 324,216 = 324,216 : x
  2. Step 2: Convert to fraction form
    209,088/324,216 = 324,216/x
  3. Step 3: Cross multiply
    209,088x = 324,216 × 324,216
  4. Step 4: Simplify right side
    209,088x = 105,116,014,656
  5. Step 5: Solve for x
    x = 105,116,014,656/209,088
  6. Step 6: Final answer
    x = 502,735.76

Related Problems

Find third proportional to 104,544 and 162,108
Half scale
Find third proportional to 418,176 and 648,432
Double scale
Find third proportional to 209,090 and 324,219
Similar ratio
Find third proportional to 313,632 and 486,324
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.