Home / 423-780

Finding the Third Proportional to 423 and 780

Calculator

Solution

The third proportional to 423 and 780 is: 1,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 780 = 780 : x
  2. Step 2: Convert to fraction form
    423/780 = 780/x
  3. Step 3: Cross multiply
    423x = 780 × 780
  4. Step 4: Simplify right side
    423x = 608,400
  5. Step 5: Solve for x
    x = 608,400/423
  6. Step 6: Final answer
    x = 1,438.30

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.