Home / 101,506-218,564

Finding the Third Proportional to 101,506 and 218,564

Calculator

Solution

The third proportional to 101,506 and 218,564 is: 470,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506 : 218,564 = 218,564 : x
  2. Step 2: Convert to fraction form
    101,506/218,564 = 218,564/x
  3. Step 3: Cross multiply
    101,506x = 218,564 × 218,564
  4. Step 4: Simplify right side
    101,506x = 47,770,222,096
  5. Step 5: Solve for x
    x = 47,770,222,096/101,506
  6. Step 6: Final answer
    x = 470,614.76

Related Problems

Find third proportional to 50,753 and 109,282
Half scale
Find third proportional to 203,012 and 437,128
Double scale
Find third proportional to 101,508 and 218,568
Similar ratio
Find third proportional to 152,259 and 327,846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.