Home / 8,284-9,724

Finding the Third Proportional to 8,284 and 9,724

Calculator

Solution

The third proportional to 8,284 and 9,724 is: 11,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 9,724 = 9,724 : x
  2. Step 2: Convert to fraction form
    8,284/9,724 = 9,724/x
  3. Step 3: Cross multiply
    8,284x = 9,724 × 9,724
  4. Step 4: Simplify right side
    8,284x = 94,556,176
  5. Step 5: Solve for x
    x = 94,556,176/8,284
  6. Step 6: Final answer
    x = 11,414.31

Related Problems

Find third proportional to 4,142 and 4,862
Half scale
Find third proportional to 16,568 and 19,448
Double scale
Find third proportional to 8,286 and 9,726
Similar ratio
Find third proportional to 12,426 and 14,586
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.