Home / 8,042-9,257

Finding the Third Proportional to 8,042 and 9,257

Calculator

Solution

The third proportional to 8,042 and 9,257 is: 10,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042 : 9,257 = 9,257 : x
  2. Step 2: Convert to fraction form
    8,042/9,257 = 9,257/x
  3. Step 3: Cross multiply
    8,042x = 9,257 × 9,257
  4. Step 4: Simplify right side
    8,042x = 85,692,049
  5. Step 5: Solve for x
    x = 85,692,049/8,042
  6. Step 6: Final answer
    x = 10,655.56

Related Problems

Find third proportional to 4,021 and 4,628.50
Half scale
Find third proportional to 16,084 and 18,514
Double scale
Find third proportional to 8,044 and 9,259
Similar ratio
Find third proportional to 12,063 and 13,885.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.