Home / 9,500-14,402

Finding the Third Proportional to 9,500 and 14,402

Calculator

Solution

The third proportional to 9,500 and 14,402 is: 21,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 14,402 = 14,402 : x
  2. Step 2: Convert to fraction form
    9,500/14,402 = 14,402/x
  3. Step 3: Cross multiply
    9,500x = 14,402 × 14,402
  4. Step 4: Simplify right side
    9,500x = 207,417,604
  5. Step 5: Solve for x
    x = 207,417,604/9,500
  6. Step 6: Final answer
    x = 21,833.43

Related Problems

Find third proportional to 4,750 and 7,201
Half scale
Find third proportional to 19,000 and 28,804
Double scale
Find third proportional to 9,502 and 14,405
Similar ratio
Find third proportional to 14,250 and 21,603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.