Home / 133,026-199,533

Finding the Third Proportional to 133,026 and 199,533

Calculator

Solution

The third proportional to 133,026 and 199,533 is: 299,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 199,533 = 199,533 : x
  2. Step 2: Convert to fraction form
    133,026/199,533 = 199,533/x
  3. Step 3: Cross multiply
    133,026x = 199,533 × 199,533
  4. Step 4: Simplify right side
    133,026x = 39,813,418,089
  5. Step 5: Solve for x
    x = 39,813,418,089/133,026
  6. Step 6: Final answer
    x = 299,290.50

Related Problems

Find third proportional to 66,513 and 99,766.50
Half scale
Find third proportional to 266,052 and 399,066
Double scale
Find third proportional to 133,028 and 199,536
Similar ratio
Find third proportional to 199,539 and 299,299.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.