Home / 103-147.13

Finding the Third Proportional to 103 and 147.13

Calculator

Solution

The third proportional to 103 and 147.13 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103 : 147.13 = 147.13 : x
  2. Step 2: Convert to fraction form
    103/147.13 = 147.13/x
  3. Step 3: Cross multiply
    103x = 147.13 × 147.13
  4. Step 4: Simplify right side
    103x = 21,645.77
  5. Step 5: Solve for x
    x = 21,645.77/103
  6. Step 6: Final answer
    x = 210.15

Related Problems

Find third proportional to 51.50 and 73.56
Half scale
Find third proportional to 206 and 294.25
Double scale
Find third proportional to 105 and 150
Similar ratio
Find third proportional to 154.50 and 220.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.