Home / 590.63-640.41

Finding the Third Proportional to 590.63 and 640.41

Calculator

Solution

The third proportional to 590.63 and 640.41 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 640.41 = 640.41 : x
  2. Step 2: Convert to fraction form
    590.63/640.41 = 640.41/x
  3. Step 3: Cross multiply
    590.63x = 640.41 × 640.41
  4. Step 4: Simplify right side
    590.63x = 410,120.17
  5. Step 5: Solve for x
    x = 410,120.17/590.63
  6. Step 6: Final answer
    x = 694.38

Related Problems

Find third proportional to 295.31 and 320.20
Half scale
Find third proportional to 1,181.25 and 1,280.81
Double scale
Find third proportional to 593 and 643
Similar ratio
Find third proportional to 885.94 and 960.61
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.