Home / 767-842

Finding the Third Proportional to 767 and 842

Calculator

Solution

The third proportional to 767 and 842 is: 924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    767 : 842 = 842 : x
  2. Step 2: Convert to fraction form
    767/842 = 842/x
  3. Step 3: Cross multiply
    767x = 842 × 842
  4. Step 4: Simplify right side
    767x = 708,964
  5. Step 5: Solve for x
    x = 708,964/767
  6. Step 6: Final answer
    x = 924.33

Related Problems

Find third proportional to 383.50 and 421
Half scale
Find third proportional to 1,534 and 1,684
Double scale
Find third proportional to 769 and 844
Similar ratio
Find third proportional to 1,150.50 and 1,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.