Home / 449-686

Finding the Third Proportional to 449 and 686

Calculator

Solution

The third proportional to 449 and 686 is: 1,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    449/686 = 686/x
  3. Step 3: Cross multiply
    449x = 686 × 686
  4. Step 4: Simplify right side
    449x = 470,596
  5. Step 5: Solve for x
    x = 470,596/449
  6. Step 6: Final answer
    x = 1,048.10

Related Problems

Find third proportional to 224.50 and 343
Half scale
Find third proportional to 898 and 1,372
Double scale
Find third proportional to 451 and 689
Similar ratio
Find third proportional to 673.50 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.