Home / 6,974-10,299

Finding the Third Proportional to 6,974 and 10,299

Calculator

Solution

The third proportional to 6,974 and 10,299 is: 15,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 10,299 = 10,299 : x
  2. Step 2: Convert to fraction form
    6,974/10,299 = 10,299/x
  3. Step 3: Cross multiply
    6,974x = 10,299 × 10,299
  4. Step 4: Simplify right side
    6,974x = 106,069,401
  5. Step 5: Solve for x
    x = 106,069,401/6,974
  6. Step 6: Final answer
    x = 15,209.26

Related Problems

Find third proportional to 3,487 and 5,149.50
Half scale
Find third proportional to 13,948 and 20,598
Double scale
Find third proportional to 6,976 and 10,302
Similar ratio
Find third proportional to 10,461 and 15,448.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.