Home / 9,832-15,715

Finding the Third Proportional to 9,832 and 15,715

Calculator

Solution

The third proportional to 9,832 and 15,715 is: 25,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832 : 15,715 = 15,715 : x
  2. Step 2: Convert to fraction form
    9,832/15,715 = 15,715/x
  3. Step 3: Cross multiply
    9,832x = 15,715 × 15,715
  4. Step 4: Simplify right side
    9,832x = 246,961,225
  5. Step 5: Solve for x
    x = 246,961,225/9,832
  6. Step 6: Final answer
    x = 25,118.11

Related Problems

Find third proportional to 4,916 and 7,857.50
Half scale
Find third proportional to 19,664 and 31,430
Double scale
Find third proportional to 9,834 and 15,718
Similar ratio
Find third proportional to 14,748 and 23,572.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.