Home / 164,712-223,686

Finding the Third Proportional to 164,712 and 223,686

Calculator

Solution

The third proportional to 164,712 and 223,686 is: 303,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,712 : 223,686 = 223,686 : x
  2. Step 2: Convert to fraction form
    164,712/223,686 = 223,686/x
  3. Step 3: Cross multiply
    164,712x = 223,686 × 223,686
  4. Step 4: Simplify right side
    164,712x = 50,035,426,596
  5. Step 5: Solve for x
    x = 50,035,426,596/164,712
  6. Step 6: Final answer
    x = 303,775.24

Related Problems

Find third proportional to 82,356 and 111,843
Half scale
Find third proportional to 329,424 and 447,372
Double scale
Find third proportional to 164,714 and 223,689
Similar ratio
Find third proportional to 247,068 and 335,529
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.