Home / 68,012-146,464

Finding the Third Proportional to 68,012 and 146,464

Calculator

Solution

The third proportional to 68,012 and 146,464 is: 315,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,012 : 146,464 = 146,464 : x
  2. Step 2: Convert to fraction form
    68,012/146,464 = 146,464/x
  3. Step 3: Cross multiply
    68,012x = 146,464 × 146,464
  4. Step 4: Simplify right side
    68,012x = 21,451,703,296
  5. Step 5: Solve for x
    x = 21,451,703,296/68,012
  6. Step 6: Final answer
    x = 315,410.56

Related Problems

Find third proportional to 34,006 and 73,232
Half scale
Find third proportional to 136,024 and 292,928
Double scale
Find third proportional to 68,014 and 146,468
Similar ratio
Find third proportional to 102,018 and 219,696
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.