Home / 9,702-22,806

Finding the Third Proportional to 9,702 and 22,806

Calculator

Solution

The third proportional to 9,702 and 22,806 is: 53,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 22,806 = 22,806 : x
  2. Step 2: Convert to fraction form
    9,702/22,806 = 22,806/x
  3. Step 3: Cross multiply
    9,702x = 22,806 × 22,806
  4. Step 4: Simplify right side
    9,702x = 520,113,636
  5. Step 5: Solve for x
    x = 520,113,636/9,702
  6. Step 6: Final answer
    x = 53,608.91

Related Problems

Find third proportional to 4,851 and 11,403
Half scale
Find third proportional to 19,404 and 45,612
Double scale
Find third proportional to 9,704 and 22,811
Similar ratio
Find third proportional to 14,553 and 34,209
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.