Home / 538.13-827.63

Finding the Third Proportional to 538.13 and 827.63

Calculator

Solution

The third proportional to 538.13 and 827.63 is: 1,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 827.63 = 827.63 : x
  2. Step 2: Convert to fraction form
    538.13/827.63 = 827.63/x
  3. Step 3: Cross multiply
    538.13x = 827.63 × 827.63
  4. Step 4: Simplify right side
    538.13x = 684,963.14
  5. Step 5: Solve for x
    x = 684,963.14/538.13
  6. Step 6: Final answer
    x = 1,272.87

Related Problems

Find third proportional to 269.06 and 413.81
Half scale
Find third proportional to 1,076.25 and 1,655.25
Double scale
Find third proportional to 540 and 831
Similar ratio
Find third proportional to 807.19 and 1,241.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.