Home / 68.16-147.09

Finding the Third Proportional to 68.16 and 147.09

Calculator

Solution

The third proportional to 68.16 and 147.09 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.16 : 147.09 = 147.09 : x
  2. Step 2: Convert to fraction form
    68.16/147.09 = 147.09/x
  3. Step 3: Cross multiply
    68.16x = 147.09 × 147.09
  4. Step 4: Simplify right side
    68.16x = 21,636.57
  5. Step 5: Solve for x
    x = 21,636.57/68.16
  6. Step 6: Final answer
    x = 317.46

Related Problems

Find third proportional to 34.08 and 73.55
Half scale
Find third proportional to 136.31 and 294.19
Double scale
Find third proportional to 70 and 151
Similar ratio
Find third proportional to 102.23 and 220.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.