Home / 337.50-684

Finding the Third Proportional to 337.50 and 684

Calculator

Solution

The third proportional to 337.50 and 684 is: 1,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    337.50/684 = 684/x
  3. Step 3: Cross multiply
    337.50x = 684 × 684
  4. Step 4: Simplify right side
    337.50x = 467,856
  5. Step 5: Solve for x
    x = 467,856/337.50
  6. Step 6: Final answer
    x = 1,386.24

Related Problems

Find third proportional to 168.75 and 342
Half scale
Find third proportional to 675 and 1,368
Double scale
Find third proportional to 340 and 688
Similar ratio
Find third proportional to 506.25 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.