Home / 102,306-218,829

Finding the Third Proportional to 102,306 and 218,829

Calculator

Solution

The third proportional to 102,306 and 218,829 is: 468,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306 : 218,829 = 218,829 : x
  2. Step 2: Convert to fraction form
    102,306/218,829 = 218,829/x
  3. Step 3: Cross multiply
    102,306x = 218,829 × 218,829
  4. Step 4: Simplify right side
    102,306x = 47,886,131,241
  5. Step 5: Solve for x
    x = 47,886,131,241/102,306
  6. Step 6: Final answer
    x = 468,067.67

Related Problems

Find third proportional to 51,153 and 109,414.50
Half scale
Find third proportional to 204,612 and 437,658
Double scale
Find third proportional to 102,308 and 218,833
Similar ratio
Find third proportional to 153,459 and 328,243.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.