Home / 420.25-588.38

Finding the Third Proportional to 420.25 and 588.38

Calculator

Solution

The third proportional to 420.25 and 588.38 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 588.38 = 588.38 : x
  2. Step 2: Convert to fraction form
    420.25/588.38 = 588.38/x
  3. Step 3: Cross multiply
    420.25x = 588.38 × 588.38
  4. Step 4: Simplify right side
    420.25x = 346,185.14
  5. Step 5: Solve for x
    x = 346,185.14/420.25
  6. Step 6: Final answer
    x = 823.76

Related Problems

Find third proportional to 210.13 and 294.19
Half scale
Find third proportional to 840.50 and 1,176.75
Double scale
Find third proportional to 422 and 591
Similar ratio
Find third proportional to 630.38 and 882.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.