Home / 437-684

Finding the Third Proportional to 437 and 684

Calculator

Solution

The third proportional to 437 and 684 is: 1,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    437/684 = 684/x
  3. Step 3: Cross multiply
    437x = 684 × 684
  4. Step 4: Simplify right side
    437x = 467,856
  5. Step 5: Solve for x
    x = 467,856/437
  6. Step 6: Final answer
    x = 1,070.61

Related Problems

Find third proportional to 218.50 and 342
Half scale
Find third proportional to 874 and 1,368
Double scale
Find third proportional to 439 and 687
Similar ratio
Find third proportional to 655.50 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.