Home / 101,016-149,564

Finding the Third Proportional to 101,016 and 149,564

Calculator

Solution

The third proportional to 101,016 and 149,564 is: 221,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,016 : 149,564 = 149,564 : x
  2. Step 2: Convert to fraction form
    101,016/149,564 = 149,564/x
  3. Step 3: Cross multiply
    101,016x = 149,564 × 149,564
  4. Step 4: Simplify right side
    101,016x = 22,369,390,096
  5. Step 5: Solve for x
    x = 22,369,390,096/101,016
  6. Step 6: Final answer
    x = 221,444.03

Related Problems

Find third proportional to 50,508 and 74,782
Half scale
Find third proportional to 202,032 and 299,128
Double scale
Find third proportional to 101,018 and 149,567
Similar ratio
Find third proportional to 151,524 and 224,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.