Home / 825-1,277.63

Finding the Third Proportional to 825 and 1,277.63

Calculator

Solution

The third proportional to 825 and 1,277.63 is: 1,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    825 : 1,277.63 = 1,277.63 : x
  2. Step 2: Convert to fraction form
    825/1,277.63 = 1,277.63/x
  3. Step 3: Cross multiply
    825x = 1,277.63 × 1,277.63
  4. Step 4: Simplify right side
    825x = 1,632,325.64
  5. Step 5: Solve for x
    x = 1,632,325.64/825
  6. Step 6: Final answer
    x = 1,978.58

Related Problems

Find third proportional to 412.50 and 638.81
Half scale
Find third proportional to 1,650 and 2,555.25
Double scale
Find third proportional to 827 and 1,281
Similar ratio
Find third proportional to 1,237.50 and 1,916.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.