Home / 150,916-314,234

Finding the Third Proportional to 150,916 and 314,234

Calculator

Solution

The third proportional to 150,916 and 314,234 is: 654,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916 : 314,234 = 314,234 : x
  2. Step 2: Convert to fraction form
    150,916/314,234 = 314,234/x
  3. Step 3: Cross multiply
    150,916x = 314,234 × 314,234
  4. Step 4: Simplify right side
    150,916x = 98,743,006,756
  5. Step 5: Solve for x
    x = 98,743,006,756/150,916
  6. Step 6: Final answer
    x = 654,291.17

Related Problems

Find third proportional to 75,458 and 157,117
Half scale
Find third proportional to 301,832 and 628,468
Double scale
Find third proportional to 150,918 and 314,238
Similar ratio
Find third proportional to 226,374 and 471,351
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.