Home / 71,520-106,800

Finding the Third Proportional to 71,520 and 106,800

Calculator

Solution

The third proportional to 71,520 and 106,800 is: 159,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,520 : 106,800 = 106,800 : x
  2. Step 2: Convert to fraction form
    71,520/106,800 = 106,800/x
  3. Step 3: Cross multiply
    71,520x = 106,800 × 106,800
  4. Step 4: Simplify right side
    71,520x = 11,406,240,000
  5. Step 5: Solve for x
    x = 11,406,240,000/71,520
  6. Step 6: Final answer
    x = 159,483.22

Related Problems

Find third proportional to 35,760 and 53,400
Half scale
Find third proportional to 143,040 and 213,600
Double scale
Find third proportional to 71,522 and 106,803
Similar ratio
Find third proportional to 107,280 and 160,200
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.