Home / 9,730-14,249

Finding the Third Proportional to 9,730 and 14,249

Calculator

Solution

The third proportional to 9,730 and 14,249 is: 20,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730 : 14,249 = 14,249 : x
  2. Step 2: Convert to fraction form
    9,730/14,249 = 14,249/x
  3. Step 3: Cross multiply
    9,730x = 14,249 × 14,249
  4. Step 4: Simplify right side
    9,730x = 203,034,001
  5. Step 5: Solve for x
    x = 203,034,001/9,730
  6. Step 6: Final answer
    x = 20,866.80

Related Problems

Find third proportional to 4,865 and 7,124.50
Half scale
Find third proportional to 19,460 and 28,498
Double scale
Find third proportional to 9,732 and 14,252
Similar ratio
Find third proportional to 14,595 and 21,373.50
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.