Home / 553-666

Finding the Third Proportional to 553 and 666

Calculator

Solution

The third proportional to 553 and 666 is: 802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    553 : 666 = 666 : x
  2. Step 2: Convert to fraction form
    553/666 = 666/x
  3. Step 3: Cross multiply
    553x = 666 × 666
  4. Step 4: Simplify right side
    553x = 443,556
  5. Step 5: Solve for x
    x = 443,556/553
  6. Step 6: Final answer
    x = 802.09

Related Problems

Find third proportional to 276.50 and 333
Half scale
Find third proportional to 1,106 and 1,332
Double scale
Find third proportional to 555 and 668
Similar ratio
Find third proportional to 829.50 and 999
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.