Home / 583.50-816

Finding the Third Proportional to 583.50 and 816

Calculator

Solution

The third proportional to 583.50 and 816 is: 1,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 816 = 816 : x
  2. Step 2: Convert to fraction form
    583.50/816 = 816/x
  3. Step 3: Cross multiply
    583.50x = 816 × 816
  4. Step 4: Simplify right side
    583.50x = 665,856
  5. Step 5: Solve for x
    x = 665,856/583.50
  6. Step 6: Final answer
    x = 1,141.14

Related Problems

Find third proportional to 291.75 and 408
Half scale
Find third proportional to 1,167 and 1,632
Double scale
Find third proportional to 586 and 819
Similar ratio
Find third proportional to 875.25 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.