Home / 6,598-10,219

Finding the Third Proportional to 6,598 and 10,219

Calculator

Solution

The third proportional to 6,598 and 10,219 is: 15,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 10,219 = 10,219 : x
  2. Step 2: Convert to fraction form
    6,598/10,219 = 10,219/x
  3. Step 3: Cross multiply
    6,598x = 10,219 × 10,219
  4. Step 4: Simplify right side
    6,598x = 104,427,961
  5. Step 5: Solve for x
    x = 104,427,961/6,598
  6. Step 6: Final answer
    x = 15,827.21

Related Problems

Find third proportional to 3,299 and 5,109.50
Half scale
Find third proportional to 13,196 and 20,438
Double scale
Find third proportional to 6,600 and 10,222
Similar ratio
Find third proportional to 9,897 and 15,328.50
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.