Home / 365-802

Finding the Third Proportional to 365 and 802

Calculator

Solution

The third proportional to 365 and 802 is: 1,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 802 = 802 : x
  2. Step 2: Convert to fraction form
    365/802 = 802/x
  3. Step 3: Cross multiply
    365x = 802 × 802
  4. Step 4: Simplify right side
    365x = 643,204
  5. Step 5: Solve for x
    x = 643,204/365
  6. Step 6: Final answer
    x = 1,762.20

Related Problems

Find third proportional to 182.50 and 401
Half scale
Find third proportional to 730 and 1,604
Double scale
Find third proportional to 367 and 806
Similar ratio
Find third proportional to 547.50 and 1,203
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.