Home / 299.48-456.10

Finding the Third Proportional to 299.48 and 456.10

Calculator

Solution

The third proportional to 299.48 and 456.10 is: 694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.48 : 456.10 = 456.10 : x
  2. Step 2: Convert to fraction form
    299.48/456.10 = 456.10/x
  3. Step 3: Cross multiply
    299.48x = 456.10 × 456.10
  4. Step 4: Simplify right side
    299.48x = 208,026.85
  5. Step 5: Solve for x
    x = 208,026.85/299.48
  6. Step 6: Final answer
    x = 694.63

Related Problems

Find third proportional to 149.74 and 228.05
Half scale
Find third proportional to 598.96 and 912.20
Double scale
Find third proportional to 301 and 459
Similar ratio
Find third proportional to 449.22 and 684.15
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.