Home / 20,147-29,497

Finding the Third Proportional to 20,147 and 29,497

Calculator

Solution

The third proportional to 20,147 and 29,497 is: 43,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 29,497 = 29,497 : x
  2. Step 2: Convert to fraction form
    20,147/29,497 = 29,497/x
  3. Step 3: Cross multiply
    20,147x = 29,497 × 29,497
  4. Step 4: Simplify right side
    20,147x = 870,073,009
  5. Step 5: Solve for x
    x = 870,073,009/20,147
  6. Step 6: Final answer
    x = 43,186.23

Related Problems

Find third proportional to 10,073.50 and 14,748.50
Half scale
Find third proportional to 40,294 and 58,994
Double scale
Find third proportional to 20,149 and 29,500
Similar ratio
Find third proportional to 30,220.50 and 44,245.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.