Home / 133,080-199,620

Finding the Third Proportional to 133,080 and 199,620

Calculator

Solution

The third proportional to 133,080 and 199,620 is: 299,430

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080 : 199,620 = 199,620 : x
  2. Step 2: Convert to fraction form
    133,080/199,620 = 199,620/x
  3. Step 3: Cross multiply
    133,080x = 199,620 × 199,620
  4. Step 4: Simplify right side
    133,080x = 39,848,144,400
  5. Step 5: Solve for x
    x = 39,848,144,400/133,080
  6. Step 6: Final answer
    x = 299,430

Related Problems

Find third proportional to 66,540 and 99,810
Half scale
Find third proportional to 266,160 and 399,240
Double scale
Find third proportional to 133,082 and 199,623
Similar ratio
Find third proportional to 199,620 and 299,430
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.