Home / 760-862

Finding the Third Proportional to 760 and 862

Calculator

Solution

The third proportional to 760 and 862 is: 977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    760 : 862 = 862 : x
  2. Step 2: Convert to fraction form
    760/862 = 862/x
  3. Step 3: Cross multiply
    760x = 862 × 862
  4. Step 4: Simplify right side
    760x = 743,044
  5. Step 5: Solve for x
    x = 743,044/760
  6. Step 6: Final answer
    x = 977.69

Related Problems

Find third proportional to 380 and 431
Half scale
Find third proportional to 1,520 and 1,724
Double scale
Find third proportional to 762 and 864
Similar ratio
Find third proportional to 1,140 and 1,293
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.