Home / 102,854-159,195

Finding the Third Proportional to 102,854 and 159,195

Calculator

Solution

The third proportional to 102,854 and 159,195 is: 246,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854 : 159,195 = 159,195 : x
  2. Step 2: Convert to fraction form
    102,854/159,195 = 159,195/x
  3. Step 3: Cross multiply
    102,854x = 159,195 × 159,195
  4. Step 4: Simplify right side
    102,854x = 25,343,048,025
  5. Step 5: Solve for x
    x = 25,343,048,025/102,854
  6. Step 6: Final answer
    x = 246,398.27

Related Problems

Find third proportional to 51,427 and 79,597.50
Half scale
Find third proportional to 205,708 and 318,390
Double scale
Find third proportional to 102,856 and 159,198
Similar ratio
Find third proportional to 154,281 and 238,792.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.