Home / 1,977-2,058

Finding the Third Proportional to 1,977 and 2,058

Calculator

Solution

The third proportional to 1,977 and 2,058 is: 2,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977 : 2,058 = 2,058 : x
  2. Step 2: Convert to fraction form
    1,977/2,058 = 2,058/x
  3. Step 3: Cross multiply
    1,977x = 2,058 × 2,058
  4. Step 4: Simplify right side
    1,977x = 4,235,364
  5. Step 5: Solve for x
    x = 4,235,364/1,977
  6. Step 6: Final answer
    x = 2,142.32

Related Problems

Find third proportional to 988.50 and 1,029
Half scale
Find third proportional to 3,954 and 4,116
Double scale
Find third proportional to 1,979 and 2,060
Similar ratio
Find third proportional to 2,965.50 and 3,087
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.