Home / 497-669

Finding the Third Proportional to 497 and 669

Calculator

Solution

The third proportional to 497 and 669 is: 900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 669 = 669 : x
  2. Step 2: Convert to fraction form
    497/669 = 669/x
  3. Step 3: Cross multiply
    497x = 669 × 669
  4. Step 4: Simplify right side
    497x = 447,561
  5. Step 5: Solve for x
    x = 447,561/497
  6. Step 6: Final answer
    x = 900.53

Related Problems

Find third proportional to 248.50 and 334.50
Half scale
Find third proportional to 994 and 1,338
Double scale
Find third proportional to 499 and 672
Similar ratio
Find third proportional to 745.50 and 1,003.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.