Home / 7,054-9,977

Finding the Third Proportional to 7,054 and 9,977

Calculator

Solution

The third proportional to 7,054 and 9,977 is: 14,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054 : 9,977 = 9,977 : x
  2. Step 2: Convert to fraction form
    7,054/9,977 = 9,977/x
  3. Step 3: Cross multiply
    7,054x = 9,977 × 9,977
  4. Step 4: Simplify right side
    7,054x = 99,540,529
  5. Step 5: Solve for x
    x = 99,540,529/7,054
  6. Step 6: Final answer
    x = 14,111.22

Related Problems

Find third proportional to 3,527 and 4,988.50
Half scale
Find third proportional to 14,108 and 19,954
Double scale
Find third proportional to 7,056 and 9,980
Similar ratio
Find third proportional to 10,581 and 14,965.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.