Home / 6,840-9,781

Finding the Third Proportional to 6,840 and 9,781

Calculator

Solution

The third proportional to 6,840 and 9,781 is: 13,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 9,781 = 9,781 : x
  2. Step 2: Convert to fraction form
    6,840/9,781 = 9,781/x
  3. Step 3: Cross multiply
    6,840x = 9,781 × 9,781
  4. Step 4: Simplify right side
    6,840x = 95,667,961
  5. Step 5: Solve for x
    x = 95,667,961/6,840
  6. Step 6: Final answer
    x = 13,986.54

Related Problems

Find third proportional to 3,420 and 4,890.50
Half scale
Find third proportional to 13,680 and 19,562
Double scale
Find third proportional to 6,842 and 9,784
Similar ratio
Find third proportional to 10,260 and 14,671.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.