Home / 704-842

Finding the Third Proportional to 704 and 842

Calculator

Solution

The third proportional to 704 and 842 is: 1,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704 : 842 = 842 : x
  2. Step 2: Convert to fraction form
    704/842 = 842/x
  3. Step 3: Cross multiply
    704x = 842 × 842
  4. Step 4: Simplify right side
    704x = 708,964
  5. Step 5: Solve for x
    x = 708,964/704
  6. Step 6: Final answer
    x = 1,007.05

Related Problems

Find third proportional to 352 and 421
Half scale
Find third proportional to 1,408 and 1,684
Double scale
Find third proportional to 706 and 844
Similar ratio
Find third proportional to 1,056 and 1,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.