Home / 5,638-10,430

Finding the Third Proportional to 5,638 and 10,430

Calculator

Solution

The third proportional to 5,638 and 10,430 is: 19,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638 : 10,430 = 10,430 : x
  2. Step 2: Convert to fraction form
    5,638/10,430 = 10,430/x
  3. Step 3: Cross multiply
    5,638x = 10,430 × 10,430
  4. Step 4: Simplify right side
    5,638x = 108,784,900
  5. Step 5: Solve for x
    x = 108,784,900/5,638
  6. Step 6: Final answer
    x = 19,294.95

Related Problems

Find third proportional to 2,819 and 5,215
Half scale
Find third proportional to 11,276 and 20,860
Double scale
Find third proportional to 5,640 and 10,434
Similar ratio
Find third proportional to 8,457 and 15,645
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.