Home / 9,785-14,353

Finding the Third Proportional to 9,785 and 14,353

Calculator

Solution

The third proportional to 9,785 and 14,353 is: 21,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785 : 14,353 = 14,353 : x
  2. Step 2: Convert to fraction form
    9,785/14,353 = 14,353/x
  3. Step 3: Cross multiply
    9,785x = 14,353 × 14,353
  4. Step 4: Simplify right side
    9,785x = 206,008,609
  5. Step 5: Solve for x
    x = 206,008,609/9,785
  6. Step 6: Final answer
    x = 21,053.51

Related Problems

Find third proportional to 4,892.50 and 7,176.50
Half scale
Find third proportional to 19,570 and 28,706
Double scale
Find third proportional to 9,787 and 14,356
Similar ratio
Find third proportional to 14,677.50 and 21,529.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.