Home / 202,305-314,324

Finding the Third Proportional to 202,305 and 314,324

Calculator

Solution

The third proportional to 202,305 and 314,324 is: 488,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305 : 314,324 = 314,324 : x
  2. Step 2: Convert to fraction form
    202,305/314,324 = 314,324/x
  3. Step 3: Cross multiply
    202,305x = 314,324 × 314,324
  4. Step 4: Simplify right side
    202,305x = 98,799,576,976
  5. Step 5: Solve for x
    x = 98,799,576,976/202,305
  6. Step 6: Final answer
    x = 488,369.43

Related Problems

Find third proportional to 101,152.50 and 157,162
Half scale
Find third proportional to 404,610 and 628,648
Double scale
Find third proportional to 202,307 and 314,327
Similar ratio
Find third proportional to 303,457.50 and 471,486
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.