Home / 5,152-9,722

Finding the Third Proportional to 5,152 and 9,722

Calculator

Solution

The third proportional to 5,152 and 9,722 is: 18,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152 : 9,722 = 9,722 : x
  2. Step 2: Convert to fraction form
    5,152/9,722 = 9,722/x
  3. Step 3: Cross multiply
    5,152x = 9,722 × 9,722
  4. Step 4: Simplify right side
    5,152x = 94,517,284
  5. Step 5: Solve for x
    x = 94,517,284/5,152
  6. Step 6: Final answer
    x = 18,345.75

Related Problems

Find third proportional to 2,576 and 4,861
Half scale
Find third proportional to 10,304 and 19,444
Double scale
Find third proportional to 5,154 and 9,726
Similar ratio
Find third proportional to 7,728 and 14,583
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.