Home / 398.50-584.63

Finding the Third Proportional to 398.50 and 584.63

Calculator

Solution

The third proportional to 398.50 and 584.63 is: 857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 584.63 = 584.63 : x
  2. Step 2: Convert to fraction form
    398.50/584.63 = 584.63/x
  3. Step 3: Cross multiply
    398.50x = 584.63 × 584.63
  4. Step 4: Simplify right side
    398.50x = 341,786.39
  5. Step 5: Solve for x
    x = 341,786.39/398.50
  6. Step 6: Final answer
    x = 857.68

Related Problems

Find third proportional to 199.25 and 292.31
Half scale
Find third proportional to 797 and 1,169.25
Double scale
Find third proportional to 401 and 588
Similar ratio
Find third proportional to 597.75 and 876.94
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.