Home / 5,197-9,665

Finding the Third Proportional to 5,197 and 9,665

Calculator

Solution

The third proportional to 5,197 and 9,665 is: 17,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 9,665 = 9,665 : x
  2. Step 2: Convert to fraction form
    5,197/9,665 = 9,665/x
  3. Step 3: Cross multiply
    5,197x = 9,665 × 9,665
  4. Step 4: Simplify right side
    5,197x = 93,412,225
  5. Step 5: Solve for x
    x = 93,412,225/5,197
  6. Step 6: Final answer
    x = 17,974.26

Related Problems

Find third proportional to 2,598.50 and 4,832.50
Half scale
Find third proportional to 10,394 and 19,330
Double scale
Find third proportional to 5,199 and 9,669
Similar ratio
Find third proportional to 7,795.50 and 14,497.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.