Home / 9,980-14,557

Finding the Third Proportional to 9,980 and 14,557

Calculator

Solution

The third proportional to 9,980 and 14,557 is: 21,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980 : 14,557 = 14,557 : x
  2. Step 2: Convert to fraction form
    9,980/14,557 = 14,557/x
  3. Step 3: Cross multiply
    9,980x = 14,557 × 14,557
  4. Step 4: Simplify right side
    9,980x = 211,906,249
  5. Step 5: Solve for x
    x = 211,906,249/9,980
  6. Step 6: Final answer
    x = 21,233.09

Related Problems

Find third proportional to 4,990 and 7,278.50
Half scale
Find third proportional to 19,960 and 29,114
Double scale
Find third proportional to 9,982 and 14,560
Similar ratio
Find third proportional to 14,970 and 21,835.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.