Home / 31,585-66,794

Finding the Third Proportional to 31,585 and 66,794

Calculator

Solution

The third proportional to 31,585 and 66,794 is: 141,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585 : 66,794 = 66,794 : x
  2. Step 2: Convert to fraction form
    31,585/66,794 = 66,794/x
  3. Step 3: Cross multiply
    31,585x = 66,794 × 66,794
  4. Step 4: Simplify right side
    31,585x = 4,461,438,436
  5. Step 5: Solve for x
    x = 4,461,438,436/31,585
  6. Step 6: Final answer
    x = 141,251.81

Related Problems

Find third proportional to 15,792.50 and 33,397
Half scale
Find third proportional to 63,170 and 133,588
Double scale
Find third proportional to 31,587 and 66,798
Similar ratio
Find third proportional to 47,377.50 and 100,191
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.