Home / 6,871-9,730

Finding the Third Proportional to 6,871 and 9,730

Calculator

Solution

The third proportional to 6,871 and 9,730 is: 13,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 9,730 = 9,730 : x
  2. Step 2: Convert to fraction form
    6,871/9,730 = 9,730/x
  3. Step 3: Cross multiply
    6,871x = 9,730 × 9,730
  4. Step 4: Simplify right side
    6,871x = 94,672,900
  5. Step 5: Solve for x
    x = 94,672,900/6,871
  6. Step 6: Final answer
    x = 13,778.62

Related Problems

Find third proportional to 3,435.50 and 4,865
Half scale
Find third proportional to 13,742 and 19,460
Double scale
Find third proportional to 6,873 and 9,733
Similar ratio
Find third proportional to 10,306.50 and 14,595
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.