Home / 5,213-10,638

Finding the Third Proportional to 5,213 and 10,638

Calculator

Solution

The third proportional to 5,213 and 10,638 is: 21,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 10,638 = 10,638 : x
  2. Step 2: Convert to fraction form
    5,213/10,638 = 10,638/x
  3. Step 3: Cross multiply
    5,213x = 10,638 × 10,638
  4. Step 4: Simplify right side
    5,213x = 113,167,044
  5. Step 5: Solve for x
    x = 113,167,044/5,213
  6. Step 6: Final answer
    x = 21,708.62

Related Problems

Find third proportional to 2,606.50 and 5,319
Half scale
Find third proportional to 10,426 and 21,276
Double scale
Find third proportional to 5,215 and 10,642
Similar ratio
Find third proportional to 7,819.50 and 15,957
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.