Home / 4,200-9,735

Finding the Third Proportional to 4,200 and 9,735

Calculator

Solution

The third proportional to 4,200 and 9,735 is: 22,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 9,735 = 9,735 : x
  2. Step 2: Convert to fraction form
    4,200/9,735 = 9,735/x
  3. Step 3: Cross multiply
    4,200x = 9,735 × 9,735
  4. Step 4: Simplify right side
    4,200x = 94,770,225
  5. Step 5: Solve for x
    x = 94,770,225/4,200
  6. Step 6: Final answer
    x = 22,564.34

Related Problems

Find third proportional to 2,100 and 4,867.50
Half scale
Find third proportional to 8,400 and 19,470
Double scale
Find third proportional to 4,202 and 9,740
Similar ratio
Find third proportional to 6,300 and 14,602.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.