Home / 462.25-691.38

Finding the Third Proportional to 462.25 and 691.38

Calculator

Solution

The third proportional to 462.25 and 691.38 is: 1,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 691.38 = 691.38 : x
  2. Step 2: Convert to fraction form
    462.25/691.38 = 691.38/x
  3. Step 3: Cross multiply
    462.25x = 691.38 × 691.38
  4. Step 4: Simplify right side
    462.25x = 477,999.39
  5. Step 5: Solve for x
    x = 477,999.39/462.25
  6. Step 6: Final answer
    x = 1,034.07

Related Problems

Find third proportional to 231.13 and 345.69
Half scale
Find third proportional to 924.50 and 1,382.75
Double scale
Find third proportional to 464 and 694
Similar ratio
Find third proportional to 693.38 and 1,037.06
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.