Home / 1,683-4,140

Finding the Third Proportional to 1,683 and 4,140

Calculator

Solution

The third proportional to 1,683 and 4,140 is: 10,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683 : 4,140 = 4,140 : x
  2. Step 2: Convert to fraction form
    1,683/4,140 = 4,140/x
  3. Step 3: Cross multiply
    1,683x = 4,140 × 4,140
  4. Step 4: Simplify right side
    1,683x = 17,139,600
  5. Step 5: Solve for x
    x = 17,139,600/1,683
  6. Step 6: Final answer
    x = 10,183.96

Related Problems

Find third proportional to 841.50 and 2,070
Half scale
Find third proportional to 3,366 and 8,280
Double scale
Find third proportional to 1,685 and 4,145
Similar ratio
Find third proportional to 2,524.50 and 6,210
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.