Home / 454.13-496.13

Finding the Third Proportional to 454.13 and 496.13

Calculator

Solution

The third proportional to 454.13 and 496.13 is: 542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 496.13 = 496.13 : x
  2. Step 2: Convert to fraction form
    454.13/496.13 = 496.13/x
  3. Step 3: Cross multiply
    454.13x = 496.13 × 496.13
  4. Step 4: Simplify right side
    454.13x = 246,140.02
  5. Step 5: Solve for x
    x = 246,140.02/454.13
  6. Step 6: Final answer
    x = 542.01

Related Problems

Find third proportional to 227.06 and 248.06
Half scale
Find third proportional to 908.25 and 992.25
Double scale
Find third proportional to 456 and 498
Similar ratio
Find third proportional to 681.19 and 744.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.