Home / 4,140-9,660

Finding the Third Proportional to 4,140 and 9,660

Calculator

Solution

The third proportional to 4,140 and 9,660 is: 22,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 9,660 = 9,660 : x
  2. Step 2: Convert to fraction form
    4,140/9,660 = 9,660/x
  3. Step 3: Cross multiply
    4,140x = 9,660 × 9,660
  4. Step 4: Simplify right side
    4,140x = 93,315,600
  5. Step 5: Solve for x
    x = 93,315,600/4,140
  6. Step 6: Final answer
    x = 22,540

Related Problems

Find third proportional to 2,070 and 4,830
Half scale
Find third proportional to 8,280 and 19,320
Double scale
Find third proportional to 4,142 and 9,665
Similar ratio
Find third proportional to 6,210 and 14,490
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.