Home / 69,386-149,299

Finding the Third Proportional to 69,386 and 149,299

Calculator

Solution

The third proportional to 69,386 and 149,299 is: 321,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,386 : 149,299 = 149,299 : x
  2. Step 2: Convert to fraction form
    69,386/149,299 = 149,299/x
  3. Step 3: Cross multiply
    69,386x = 149,299 × 149,299
  4. Step 4: Simplify right side
    69,386x = 22,290,191,401
  5. Step 5: Solve for x
    x = 22,290,191,401/69,386
  6. Step 6: Final answer
    x = 321,249.12

Related Problems

Find third proportional to 34,693 and 74,649.50
Half scale
Find third proportional to 138,772 and 298,598
Double scale
Find third proportional to 69,388 and 149,303
Similar ratio
Find third proportional to 104,079 and 223,948.50
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.