Home / 6,918-9,513

Finding the Third Proportional to 6,918 and 9,513

Calculator

Solution

The third proportional to 6,918 and 9,513 is: 13,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 9,513 = 9,513 : x
  2. Step 2: Convert to fraction form
    6,918/9,513 = 9,513/x
  3. Step 3: Cross multiply
    6,918x = 9,513 × 9,513
  4. Step 4: Simplify right side
    6,918x = 90,497,169
  5. Step 5: Solve for x
    x = 90,497,169/6,918
  6. Step 6: Final answer
    x = 13,081.41

Related Problems

Find third proportional to 3,459 and 4,756.50
Half scale
Find third proportional to 13,836 and 19,026
Double scale
Find third proportional to 6,920 and 9,516
Similar ratio
Find third proportional to 10,377 and 14,269.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.