Home / 401.34-542.11

Finding the Third Proportional to 401.34 and 542.11

Calculator

Solution

The third proportional to 401.34 and 542.11 is: 732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.34 : 542.11 = 542.11 : x
  2. Step 2: Convert to fraction form
    401.34/542.11 = 542.11/x
  3. Step 3: Cross multiply
    401.34x = 542.11 × 542.11
  4. Step 4: Simplify right side
    401.34x = 293,882.57
  5. Step 5: Solve for x
    x = 293,882.57/401.34
  6. Step 6: Final answer
    x = 732.25

Related Problems

Find third proportional to 200.67 and 271.05
Half scale
Find third proportional to 802.69 and 1,084.22
Double scale
Find third proportional to 403 and 545
Similar ratio
Find third proportional to 602.02 and 813.16
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.