Home / 523.50-1,114

Finding the Third Proportional to 523.50 and 1,114

Calculator

Solution

The third proportional to 523.50 and 1,114 is: 2,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 1,114 = 1,114 : x
  2. Step 2: Convert to fraction form
    523.50/1,114 = 1,114/x
  3. Step 3: Cross multiply
    523.50x = 1,114 × 1,114
  4. Step 4: Simplify right side
    523.50x = 1,240,996
  5. Step 5: Solve for x
    x = 1,240,996/523.50
  6. Step 6: Final answer
    x = 2,370.57

Related Problems

Find third proportional to 261.75 and 557
Half scale
Find third proportional to 1,047 and 2,228
Double scale
Find third proportional to 526 and 1,118
Similar ratio
Find third proportional to 785.25 and 1,671
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.