Home / 653-822

Finding the Third Proportional to 653 and 822

Calculator

Solution

The third proportional to 653 and 822 is: 1,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    653/822 = 822/x
  3. Step 3: Cross multiply
    653x = 822 × 822
  4. Step 4: Simplify right side
    653x = 675,684
  5. Step 5: Solve for x
    x = 675,684/653
  6. Step 6: Final answer
    x = 1,034.74

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.