Home / 5,340-7,873

Finding the Third Proportional to 5,340 and 7,873

Calculator

Solution

The third proportional to 5,340 and 7,873 is: 11,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340 : 7,873 = 7,873 : x
  2. Step 2: Convert to fraction form
    5,340/7,873 = 7,873/x
  3. Step 3: Cross multiply
    5,340x = 7,873 × 7,873
  4. Step 4: Simplify right side
    5,340x = 61,984,129
  5. Step 5: Solve for x
    x = 61,984,129/5,340
  6. Step 6: Final answer
    x = 11,607.51

Related Problems

Find third proportional to 2,670 and 3,936.50
Half scale
Find third proportional to 10,680 and 15,746
Double scale
Find third proportional to 5,342 and 7,876
Similar ratio
Find third proportional to 8,010 and 11,809.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.