Home / 384.75-684

Finding the Third Proportional to 384.75 and 684

Calculator

Solution

The third proportional to 384.75 and 684 is: 1,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    384.75/684 = 684/x
  3. Step 3: Cross multiply
    384.75x = 684 × 684
  4. Step 4: Simplify right side
    384.75x = 467,856
  5. Step 5: Solve for x
    x = 467,856/384.75
  6. Step 6: Final answer
    x = 1,216

Related Problems

Find third proportional to 192.38 and 342
Half scale
Find third proportional to 769.50 and 1,368
Double scale
Find third proportional to 387 and 688
Similar ratio
Find third proportional to 577.13 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.