Home / 65,722-102,962

Finding the Third Proportional to 65,722 and 102,962

Calculator

Solution

The third proportional to 65,722 and 102,962 is: 161,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722 : 102,962 = 102,962 : x
  2. Step 2: Convert to fraction form
    65,722/102,962 = 102,962/x
  3. Step 3: Cross multiply
    65,722x = 102,962 × 102,962
  4. Step 4: Simplify right side
    65,722x = 10,601,173,444
  5. Step 5: Solve for x
    x = 10,601,173,444/65,722
  6. Step 6: Final answer
    x = 161,303.27

Related Problems

Find third proportional to 32,861 and 51,481
Half scale
Find third proportional to 131,444 and 205,924
Double scale
Find third proportional to 65,724 and 102,965
Similar ratio
Find third proportional to 98,583 and 154,443
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.