Home / 854-2,297

Finding the Third Proportional to 854 and 2,297

Calculator

Solution

The third proportional to 854 and 2,297 is: 6,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854 : 2,297 = 2,297 : x
  2. Step 2: Convert to fraction form
    854/2,297 = 2,297/x
  3. Step 3: Cross multiply
    854x = 2,297 × 2,297
  4. Step 4: Simplify right side
    854x = 5,276,209
  5. Step 5: Solve for x
    x = 5,276,209/854
  6. Step 6: Final answer
    x = 6,178.23

Related Problems

Find third proportional to 427 and 1,148.50
Half scale
Find third proportional to 1,708 and 4,594
Double scale
Find third proportional to 856 and 2,302
Similar ratio
Find third proportional to 1,281 and 3,445.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.