Home / 781-1,837.75

Finding the Third Proportional to 781 and 1,837.75

Calculator

Solution

The third proportional to 781 and 1,837.75 is: 4,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    781 : 1,837.75 = 1,837.75 : x
  2. Step 2: Convert to fraction form
    781/1,837.75 = 1,837.75/x
  3. Step 3: Cross multiply
    781x = 1,837.75 × 1,837.75
  4. Step 4: Simplify right side
    781x = 3,377,325.06
  5. Step 5: Solve for x
    x = 3,377,325.06/781
  6. Step 6: Final answer
    x = 4,324.36

Related Problems

Find third proportional to 390.50 and 918.88
Half scale
Find third proportional to 1,562 and 3,675.50
Double scale
Find third proportional to 783 and 1,842
Similar ratio
Find third proportional to 1,171.50 and 2,756.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.