Home / 584-816

Finding the Third Proportional to 584 and 816

Calculator

Solution

The third proportional to 584 and 816 is: 1,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 816 = 816 : x
  2. Step 2: Convert to fraction form
    584/816 = 816/x
  3. Step 3: Cross multiply
    584x = 816 × 816
  4. Step 4: Simplify right side
    584x = 665,856
  5. Step 5: Solve for x
    x = 665,856/584
  6. Step 6: Final answer
    x = 1,140.16

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.