Home / 781.50-1,653.75

Finding the Third Proportional to 781.50 and 1,653.75

Calculator

Solution

The third proportional to 781.50 and 1,653.75 is: 3,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.50 : 1,653.75 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    781.50/1,653.75 = 1,653.75/x
  3. Step 3: Cross multiply
    781.50x = 1,653.75 × 1,653.75
  4. Step 4: Simplify right side
    781.50x = 2,734,889.06
  5. Step 5: Solve for x
    x = 2,734,889.06/781.50
  6. Step 6: Final answer
    x = 3,499.54

Related Problems

Find third proportional to 390.75 and 826.88
Half scale
Find third proportional to 1,563 and 3,307.50
Double scale
Find third proportional to 784 and 1,658
Similar ratio
Find third proportional to 1,172.25 and 2,480.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.