Home / 9,720-20,823.50

Finding the Third Proportional to 9,720 and 20,823.50

Calculator

Solution

The third proportional to 9,720 and 20,823.50 is: 44,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 20,823.50 = 20,823.50 : x
  2. Step 2: Convert to fraction form
    9,720/20,823.50 = 20,823.50/x
  3. Step 3: Cross multiply
    9,720x = 20,823.50 × 20,823.50
  4. Step 4: Simplify right side
    9,720x = 433,618,152.25
  5. Step 5: Solve for x
    x = 433,618,152.25/9,720
  6. Step 6: Final answer
    x = 44,610.92

Related Problems

Find third proportional to 4,860 and 10,411.75
Half scale
Find third proportional to 19,440 and 41,647
Double scale
Find third proportional to 9,722 and 20,828
Similar ratio
Find third proportional to 14,580 and 31,235.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.