Home / 21,142-31,646

Finding the Third Proportional to 21,142 and 31,646

Calculator

Solution

The third proportional to 21,142 and 31,646 is: 47,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 31,646 = 31,646 : x
  2. Step 2: Convert to fraction form
    21,142/31,646 = 31,646/x
  3. Step 3: Cross multiply
    21,142x = 31,646 × 31,646
  4. Step 4: Simplify right side
    21,142x = 1,001,469,316
  5. Step 5: Solve for x
    x = 1,001,469,316/21,142
  6. Step 6: Final answer
    x = 47,368.71

Related Problems

Find third proportional to 10,571 and 15,823
Half scale
Find third proportional to 42,284 and 63,292
Double scale
Find third proportional to 21,144 and 31,649
Similar ratio
Find third proportional to 31,713 and 47,469
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.