Home / 397-842

Finding the Third Proportional to 397 and 842

Calculator

Solution

The third proportional to 397 and 842 is: 1,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 842 = 842 : x
  2. Step 2: Convert to fraction form
    397/842 = 842/x
  3. Step 3: Cross multiply
    397x = 842 × 842
  4. Step 4: Simplify right side
    397x = 708,964
  5. Step 5: Solve for x
    x = 708,964/397
  6. Step 6: Final answer
    x = 1,785.80

Related Problems

Find third proportional to 198.50 and 421
Half scale
Find third proportional to 794 and 1,684
Double scale
Find third proportional to 399 and 846
Similar ratio
Find third proportional to 595.50 and 1,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.