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

Find third proportional to 292 and 408
Half scale
Find third proportional to 1,168 and 1,632
Double scale
Find third proportional to 586 and 819
Similar ratio
Find third proportional to 876 and 1,224
1.5x scale

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.