Home / 10,206-22,052.25

Finding the Third Proportional to 10,206 and 22,052.25

Calculator

Solution

The third proportional to 10,206 and 22,052.25 is: 47,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 22,052.25 = 22,052.25 : x
  2. Step 2: Convert to fraction form
    10,206/22,052.25 = 22,052.25/x
  3. Step 3: Cross multiply
    10,206x = 22,052.25 × 22,052.25
  4. Step 4: Simplify right side
    10,206x = 486,301,730.06
  5. Step 5: Solve for x
    x = 486,301,730.06/10,206
  6. Step 6: Final answer
    x = 47,648.61

Related Problems

Find third proportional to 5,103 and 11,026.13
Half scale
Find third proportional to 20,412 and 44,104.50
Double scale
Find third proportional to 10,208 and 22,057
Similar ratio
Find third proportional to 15,309 and 33,078.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.