Home / 454-690

Finding the Third Proportional to 454 and 690

Calculator

Solution

The third proportional to 454 and 690 is: 1,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 690 = 690 : x
  2. Step 2: Convert to fraction form
    454/690 = 690/x
  3. Step 3: Cross multiply
    454x = 690 × 690
  4. Step 4: Simplify right side
    454x = 476,100
  5. Step 5: Solve for x
    x = 476,100/454
  6. Step 6: Final answer
    x = 1,048.68

Related Problems

Find third proportional to 227 and 345
Half scale
Find third proportional to 908 and 1,380
Double scale
Find third proportional to 456 and 693
Similar ratio
Find third proportional to 681 and 1,035
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.