Home / 5,188-7,397

Finding the Third Proportional to 5,188 and 7,397

Calculator

Solution

The third proportional to 5,188 and 7,397 is: 10,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 7,397 = 7,397 : x
  2. Step 2: Convert to fraction form
    5,188/7,397 = 7,397/x
  3. Step 3: Cross multiply
    5,188x = 7,397 × 7,397
  4. Step 4: Simplify right side
    5,188x = 54,715,609
  5. Step 5: Solve for x
    x = 54,715,609/5,188
  6. Step 6: Final answer
    x = 10,546.57

Related Problems

Find third proportional to 2,594 and 3,698.50
Half scale
Find third proportional to 10,376 and 14,794
Double scale
Find third proportional to 5,190 and 7,400
Similar ratio
Find third proportional to 7,782 and 11,095.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.