Home / 144.70-305.02

Finding the Third Proportional to 144.70 and 305.02

Calculator

Solution

The third proportional to 144.70 and 305.02 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.70 : 305.02 = 305.02 : x
  2. Step 2: Convert to fraction form
    144.70/305.02 = 305.02/x
  3. Step 3: Cross multiply
    144.70x = 305.02 × 305.02
  4. Step 4: Simplify right side
    144.70x = 93,034.53
  5. Step 5: Solve for x
    x = 93,034.53/144.70
  6. Step 6: Final answer
    x = 642.93

Related Problems

Find third proportional to 72.35 and 152.51
Half scale
Find third proportional to 289.41 and 610.03
Double scale
Find third proportional to 147 and 309
Similar ratio
Find third proportional to 217.05 and 457.52
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.