Home / 299.06-462

Finding the Third Proportional to 299.06 and 462

Calculator

Solution

The third proportional to 299.06 and 462 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    299.06/462 = 462/x
  3. Step 3: Cross multiply
    299.06x = 462 × 462
  4. Step 4: Simplify right side
    299.06x = 213,444
  5. Step 5: Solve for x
    x = 213,444/299.06
  6. Step 6: Final answer
    x = 713.71

Related Problems

Find third proportional to 149.53 and 231
Half scale
Find third proportional to 598.13 and 924
Double scale
Find third proportional to 301 and 465
Similar ratio
Find third proportional to 448.59 and 693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.