Home / 70,646-102,159

Finding the Third Proportional to 70,646 and 102,159

Calculator

Solution

The third proportional to 70,646 and 102,159 is: 147,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646 : 102,159 = 102,159 : x
  2. Step 2: Convert to fraction form
    70,646/102,159 = 102,159/x
  3. Step 3: Cross multiply
    70,646x = 102,159 × 102,159
  4. Step 4: Simplify right side
    70,646x = 10,436,461,281
  5. Step 5: Solve for x
    x = 10,436,461,281/70,646
  6. Step 6: Final answer
    x = 147,728.98

Related Problems

Find third proportional to 35,323 and 51,079.50
Half scale
Find third proportional to 141,292 and 204,318
Double scale
Find third proportional to 70,648 and 102,162
Similar ratio
Find third proportional to 105,969 and 153,238.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.