Home / 4,524-10,306

Finding the Third Proportional to 4,524 and 10,306

Calculator

Solution

The third proportional to 4,524 and 10,306 is: 23,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524 : 10,306 = 10,306 : x
  2. Step 2: Convert to fraction form
    4,524/10,306 = 10,306/x
  3. Step 3: Cross multiply
    4,524x = 10,306 × 10,306
  4. Step 4: Simplify right side
    4,524x = 106,213,636
  5. Step 5: Solve for x
    x = 106,213,636/4,524
  6. Step 6: Final answer
    x = 23,477.82

Related Problems

Find third proportional to 2,262 and 5,153
Half scale
Find third proportional to 9,048 and 20,612
Double scale
Find third proportional to 4,526 and 10,311
Similar ratio
Find third proportional to 6,786 and 15,459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.