Home / 65,691-102,069

Finding the Third Proportional to 65,691 and 102,069

Calculator

Solution

The third proportional to 65,691 and 102,069 is: 158,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691 : 102,069 = 102,069 : x
  2. Step 2: Convert to fraction form
    65,691/102,069 = 102,069/x
  3. Step 3: Cross multiply
    65,691x = 102,069 × 102,069
  4. Step 4: Simplify right side
    65,691x = 10,418,080,761
  5. Step 5: Solve for x
    x = 10,418,080,761/65,691
  6. Step 6: Final answer
    x = 158,592.21

Related Problems

Find third proportional to 32,845.50 and 51,034.50
Half scale
Find third proportional to 131,382 and 204,138
Double scale
Find third proportional to 65,693 and 102,072
Similar ratio
Find third proportional to 98,536.50 and 153,103.50
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.