Home / 1,680-3,865.50

Finding the Third Proportional to 1,680 and 3,865.50

Calculator

Solution

The third proportional to 1,680 and 3,865.50 is: 8,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 3,865.50 = 3,865.50 : x
  2. Step 2: Convert to fraction form
    1,680/3,865.50 = 3,865.50/x
  3. Step 3: Cross multiply
    1,680x = 3,865.50 × 3,865.50
  4. Step 4: Simplify right side
    1,680x = 14,942,090.25
  5. Step 5: Solve for x
    x = 14,942,090.25/1,680
  6. Step 6: Final answer
    x = 8,894.10

Related Problems

Find third proportional to 840 and 1,932.75
Half scale
Find third proportional to 3,360 and 7,731
Double scale
Find third proportional to 1,682 and 3,870
Similar ratio
Find third proportional to 2,520 and 5,798.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.