Home / 401.63-590.63

Finding the Third Proportional to 401.63 and 590.63

Calculator

Solution

The third proportional to 401.63 and 590.63 is: 868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 590.63 = 590.63 : x
  2. Step 2: Convert to fraction form
    401.63/590.63 = 590.63/x
  3. Step 3: Cross multiply
    401.63x = 590.63 × 590.63
  4. Step 4: Simplify right side
    401.63x = 348,837.89
  5. Step 5: Solve for x
    x = 348,837.89/401.63
  6. Step 6: Final answer
    x = 868.57

Related Problems

Find third proportional to 200.81 and 295.31
Half scale
Find third proportional to 803.25 and 1,181.25
Double scale
Find third proportional to 404 and 594
Similar ratio
Find third proportional to 602.44 and 885.94
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.