Home / 8,590-13,294

Finding the Third Proportional to 8,590 and 13,294

Calculator

Solution

The third proportional to 8,590 and 13,294 is: 20,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590 : 13,294 = 13,294 : x
  2. Step 2: Convert to fraction form
    8,590/13,294 = 13,294/x
  3. Step 3: Cross multiply
    8,590x = 13,294 × 13,294
  4. Step 4: Simplify right side
    8,590x = 176,730,436
  5. Step 5: Solve for x
    x = 176,730,436/8,590
  6. Step 6: Final answer
    x = 20,573.97

Related Problems

Find third proportional to 4,295 and 6,647
Half scale
Find third proportional to 17,180 and 26,588
Double scale
Find third proportional to 8,592 and 13,297
Similar ratio
Find third proportional to 12,885 and 19,941
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.