Home / 20,546-31,370

Finding the Third Proportional to 20,546 and 31,370

Calculator

Solution

The third proportional to 20,546 and 31,370 is: 47,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546 : 31,370 = 31,370 : x
  2. Step 2: Convert to fraction form
    20,546/31,370 = 31,370/x
  3. Step 3: Cross multiply
    20,546x = 31,370 × 31,370
  4. Step 4: Simplify right side
    20,546x = 984,076,900
  5. Step 5: Solve for x
    x = 984,076,900/20,546
  6. Step 6: Final answer
    x = 47,896.28

Related Problems

Find third proportional to 10,273 and 15,685
Half scale
Find third proportional to 41,092 and 62,740
Double scale
Find third proportional to 20,548 and 31,373
Similar ratio
Find third proportional to 30,819 and 47,055
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.