Home / 1,957-4,220

Finding the Third Proportional to 1,957 and 4,220

Calculator

Solution

The third proportional to 1,957 and 4,220 is: 9,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957 : 4,220 = 4,220 : x
  2. Step 2: Convert to fraction form
    1,957/4,220 = 4,220/x
  3. Step 3: Cross multiply
    1,957x = 4,220 × 4,220
  4. Step 4: Simplify right side
    1,957x = 17,808,400
  5. Step 5: Solve for x
    x = 17,808,400/1,957
  6. Step 6: Final answer
    x = 9,099.85

Related Problems

Find third proportional to 978.50 and 2,110
Half scale
Find third proportional to 3,914 and 8,440
Double scale
Find third proportional to 1,959 and 4,224
Similar ratio
Find third proportional to 2,935.50 and 6,330
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.