Home / 7,767-16,293

Finding the Third Proportional to 7,767 and 16,293

Calculator

Solution

The third proportional to 7,767 and 16,293 is: 34,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 16,293 = 16,293 : x
  2. Step 2: Convert to fraction form
    7,767/16,293 = 16,293/x
  3. Step 3: Cross multiply
    7,767x = 16,293 × 16,293
  4. Step 4: Simplify right side
    7,767x = 265,461,849
  5. Step 5: Solve for x
    x = 265,461,849/7,767
  6. Step 6: Final answer
    x = 34,178.17

Related Problems

Find third proportional to 3,883.50 and 8,146.50
Half scale
Find third proportional to 15,534 and 32,586
Double scale
Find third proportional to 7,769 and 16,297
Similar ratio
Find third proportional to 11,650.50 and 24,439.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.