Home / 72,709-106,666

Finding the Third Proportional to 72,709 and 106,666

Calculator

Solution

The third proportional to 72,709 and 106,666 is: 156,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709 : 106,666 = 106,666 : x
  2. Step 2: Convert to fraction form
    72,709/106,666 = 106,666/x
  3. Step 3: Cross multiply
    72,709x = 106,666 × 106,666
  4. Step 4: Simplify right side
    72,709x = 11,377,635,556
  5. Step 5: Solve for x
    x = 11,377,635,556/72,709
  6. Step 6: Final answer
    x = 156,481.80

Related Problems

Find third proportional to 36,354.50 and 53,333
Half scale
Find third proportional to 145,418 and 213,332
Double scale
Find third proportional to 72,711 and 106,669
Similar ratio
Find third proportional to 109,063.50 and 159,999
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.