Home / 9,706-15,000

Finding the Third Proportional to 9,706 and 15,000

Calculator

Solution

The third proportional to 9,706 and 15,000 is: 23,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 15,000 = 15,000 : x
  2. Step 2: Convert to fraction form
    9,706/15,000 = 15,000/x
  3. Step 3: Cross multiply
    9,706x = 15,000 × 15,000
  4. Step 4: Simplify right side
    9,706x = 225,000,000
  5. Step 5: Solve for x
    x = 225,000,000/9,706
  6. Step 6: Final answer
    x = 23,181.54

Related Problems

Find third proportional to 4,853 and 7,500
Half scale
Find third proportional to 19,412 and 30,000
Double scale
Find third proportional to 9,708 and 15,003
Similar ratio
Find third proportional to 14,559 and 22,500
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.