Home / 3,000-6,547

Finding the Third Proportional to 3,000 and 6,547

Calculator

Solution

The third proportional to 3,000 and 6,547 is: 14,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 6,547 = 6,547 : x
  2. Step 2: Convert to fraction form
    3,000/6,547 = 6,547/x
  3. Step 3: Cross multiply
    3,000x = 6,547 × 6,547
  4. Step 4: Simplify right side
    3,000x = 42,863,209
  5. Step 5: Solve for x
    x = 42,863,209/3,000
  6. Step 6: Final answer
    x = 14,287.74

Related Problems

Find third proportional to 1,500 and 3,273.50
Half scale
Find third proportional to 6,000 and 13,094
Double scale
Find third proportional to 3,002 and 6,551
Similar ratio
Find third proportional to 4,500 and 9,820.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.