Home / 496.13-563.91

Finding the Third Proportional to 496.13 and 563.91

Calculator

Solution

The third proportional to 496.13 and 563.91 is: 640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 563.91 = 563.91 : x
  2. Step 2: Convert to fraction form
    496.13/563.91 = 563.91/x
  3. Step 3: Cross multiply
    496.13x = 563.91 × 563.91
  4. Step 4: Simplify right side
    496.13x = 317,990.26
  5. Step 5: Solve for x
    x = 317,990.26/496.13
  6. Step 6: Final answer
    x = 640.95

Related Problems

Find third proportional to 248.06 and 281.95
Half scale
Find third proportional to 992.25 and 1,127.81
Double scale
Find third proportional to 498 and 566
Similar ratio
Find third proportional to 744.19 and 845.86
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.