Home / 69,515-149,830

Finding the Third Proportional to 69,515 and 149,830

Calculator

Solution

The third proportional to 69,515 and 149,830 is: 322,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,515 : 149,830 = 149,830 : x
  2. Step 2: Convert to fraction form
    69,515/149,830 = 149,830/x
  3. Step 3: Cross multiply
    69,515x = 149,830 × 149,830
  4. Step 4: Simplify right side
    69,515x = 22,449,028,900
  5. Step 5: Solve for x
    x = 22,449,028,900/69,515
  6. Step 6: Final answer
    x = 322,937.91

Related Problems

Find third proportional to 34,757.50 and 74,915
Half scale
Find third proportional to 139,030 and 299,660
Double scale
Find third proportional to 69,517 and 149,834
Similar ratio
Find third proportional to 104,272.50 and 224,745
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.