Home / 854.50-1,306.50

Finding the Third Proportional to 854.50 and 1,306.50

Calculator

Solution

The third proportional to 854.50 and 1,306.50 is: 1,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.50 : 1,306.50 = 1,306.50 : x
  2. Step 2: Convert to fraction form
    854.50/1,306.50 = 1,306.50/x
  3. Step 3: Cross multiply
    854.50x = 1,306.50 × 1,306.50
  4. Step 4: Simplify right side
    854.50x = 1,706,942.25
  5. Step 5: Solve for x
    x = 1,706,942.25/854.50
  6. Step 6: Final answer
    x = 1,997.59

Related Problems

Find third proportional to 427.25 and 653.25
Half scale
Find third proportional to 1,709 and 2,613
Double scale
Find third proportional to 857 and 1,310
Similar ratio
Find third proportional to 1,281.75 and 1,959.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.