Home / 5,186-7,415

Finding the Third Proportional to 5,186 and 7,415

Calculator

Solution

The third proportional to 5,186 and 7,415 is: 10,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 7,415 = 7,415 : x
  2. Step 2: Convert to fraction form
    5,186/7,415 = 7,415/x
  3. Step 3: Cross multiply
    5,186x = 7,415 × 7,415
  4. Step 4: Simplify right side
    5,186x = 54,982,225
  5. Step 5: Solve for x
    x = 54,982,225/5,186
  6. Step 6: Final answer
    x = 10,602.05

Related Problems

Find third proportional to 2,593 and 3,707.50
Half scale
Find third proportional to 10,372 and 14,830
Double scale
Find third proportional to 5,188 and 7,418
Similar ratio
Find third proportional to 7,779 and 11,122.50
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.